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Finding the Fourth Proportional to 3,537.46, 5,301.16 and 2,605.69

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Solution

The fourth proportional to 3,537.46, 5,301.16 and 2,605.69 is: 3,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.46 : 5,301.16 = 2,605.69 : x
  2. Step 2: Convert to fraction form
    3,537.46/5,301.16 = 2,605.69/x
  3. Step 3: Cross multiply
    3,537.46x = 5,301.16 × 2,605.69
  4. Step 4: Simplify right side
    3,537.46x = 13,813,179.60
  5. Step 5: Solve for x
    x = 13,813,179.60/3,537.46
  6. Step 6: Final answer
    x = 3,904.83

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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.