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Finding the Fourth Proportional to 5,307.88, 7,322.98 and 3,649

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Solution

The fourth proportional to 5,307.88, 7,322.98 and 3,649 is: 5,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.88 : 7,322.98 = 3,649 : x
  2. Step 2: Convert to fraction form
    5,307.88/7,322.98 = 3,649/x
  3. Step 3: Cross multiply
    5,307.88x = 7,322.98 × 3,649
  4. Step 4: Simplify right side
    5,307.88x = 26,721,554.02
  5. Step 5: Solve for x
    x = 26,721,554.02/5,307.88
  6. Step 6: Final answer
    x = 5,034.32

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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.