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Finding the Fourth Proportional to 5,702,075.88, 7,868,534.04 and 3,123,307.68

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Solution

The fourth proportional to 5,702,075.88, 7,868,534.04 and 3,123,307.68 is: 4,309,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,075.88 : 7,868,534.04 = 3,123,307.68 : x
  2. Step 2: Convert to fraction form
    5,702,075.88/7,868,534.04 = 3,123,307.68/x
  3. Step 3: Cross multiply
    5,702,075.88x = 7,868,534.04 × 3,123,307.68
  4. Step 4: Simplify right side
    5,702,075.88x = 24,575,852,797,473.43
  5. Step 5: Solve for x
    x = 24,575,852,797,473.43/5,702,075.88
  6. Step 6: Final answer
    x = 4,309,983.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.