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Finding the Fourth Proportional to 3,712.07, 5,565.47 and 1,861.85

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Solution

The fourth proportional to 3,712.07, 5,565.47 and 1,861.85 is: 2,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.07 : 5,565.47 = 1,861.85 : x
  2. Step 2: Convert to fraction form
    3,712.07/5,565.47 = 1,861.85/x
  3. Step 3: Cross multiply
    3,712.07x = 5,565.47 × 1,861.85
  4. Step 4: Simplify right side
    3,712.07x = 10,362,033.18
  5. Step 5: Solve for x
    x = 10,362,033.18/3,712.07
  6. Step 6: Final answer
    x = 2,791.45

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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.