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Finding the Fourth Proportional to 3,678.42, 5,075.19 and 3,493.74

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Solution

The fourth proportional to 3,678.42, 5,075.19 and 3,493.74 is: 4,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.42 : 5,075.19 = 3,493.74 : x
  2. Step 2: Convert to fraction form
    3,678.42/5,075.19 = 3,493.74/x
  3. Step 3: Cross multiply
    3,678.42x = 5,075.19 × 3,493.74
  4. Step 4: Simplify right side
    3,678.42x = 17,731,394.31
  5. Step 5: Solve for x
    x = 17,731,394.31/3,678.42
  6. Step 6: Final answer
    x = 4,820.38

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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.