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Finding the Fourth Proportional to 5,302.31, 7,319.93 and 3,737.39

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Solution

The fourth proportional to 5,302.31, 7,319.93 and 3,737.39 is: 5,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.31 : 7,319.93 = 3,737.39 : x
  2. Step 2: Convert to fraction form
    5,302.31/7,319.93 = 3,737.39/x
  3. Step 3: Cross multiply
    5,302.31x = 7,319.93 × 3,737.39
  4. Step 4: Simplify right side
    5,302.31x = 27,357,377.90
  5. Step 5: Solve for x
    x = 27,357,377.90/5,302.31
  6. Step 6: Final answer
    x = 5,159.53

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