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Finding the Fourth Proportional to 4,702.39, 7,053.69 and 2,237.46

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Solution

The fourth proportional to 4,702.39, 7,053.69 and 2,237.46 is: 3,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.39 : 7,053.69 = 2,237.46 : x
  2. Step 2: Convert to fraction form
    4,702.39/7,053.69 = 2,237.46/x
  3. Step 3: Cross multiply
    4,702.39x = 7,053.69 × 2,237.46
  4. Step 4: Simplify right side
    4,702.39x = 15,782,331.17
  5. Step 5: Solve for x
    x = 15,782,331.17/4,702.39
  6. Step 6: Final answer
    x = 3,356.24

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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.