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Finding the Fourth Proportional to 3,730.79, 5,596.03 and 1,265.61

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Solution

The fourth proportional to 3,730.79, 5,596.03 and 1,265.61 is: 1,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.79 : 5,596.03 = 1,265.61 : x
  2. Step 2: Convert to fraction form
    3,730.79/5,596.03 = 1,265.61/x
  3. Step 3: Cross multiply
    3,730.79x = 5,596.03 × 1,265.61
  4. Step 4: Simplify right side
    3,730.79x = 7,082,391.53
  5. Step 5: Solve for x
    x = 7,082,391.53/3,730.79
  6. Step 6: Final answer
    x = 1,898.36

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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.