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Finding the Fourth Proportional to 4,737.67, 6,537.31 and 2,693.50

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Solution

The fourth proportional to 4,737.67, 6,537.31 and 2,693.50 is: 3,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.67 : 6,537.31 = 2,693.50 : x
  2. Step 2: Convert to fraction form
    4,737.67/6,537.31 = 2,693.50/x
  3. Step 3: Cross multiply
    4,737.67x = 6,537.31 × 2,693.50
  4. Step 4: Simplify right side
    4,737.67x = 17,608,244.49
  5. Step 5: Solve for x
    x = 17,608,244.49/4,737.67
  6. Step 6: Final answer
    x = 3,716.65

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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.