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Finding the Fourth Proportional to 4,702.71, 7,057.50 and 2,237.52

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Solution

The fourth proportional to 4,702.71, 7,057.50 and 2,237.52 is: 3,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.71 : 7,057.50 = 2,237.52 : x
  2. Step 2: Convert to fraction form
    4,702.71/7,057.50 = 2,237.52/x
  3. Step 3: Cross multiply
    4,702.71x = 7,057.50 × 2,237.52
  4. Step 4: Simplify right side
    4,702.71x = 15,791,297.40
  5. Step 5: Solve for x
    x = 15,791,297.40/4,702.71
  6. Step 6: Final answer
    x = 3,357.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.