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Finding the Fourth Proportional to 5,760.64, 8,641.08 and 2,473.77

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Solution

The fourth proportional to 5,760.64, 8,641.08 and 2,473.77 is: 3,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.64 : 8,641.08 = 2,473.77 : x
  2. Step 2: Convert to fraction form
    5,760.64/8,641.08 = 2,473.77/x
  3. Step 3: Cross multiply
    5,760.64x = 8,641.08 × 2,473.77
  4. Step 4: Simplify right side
    5,760.64x = 21,376,003.97
  5. Step 5: Solve for x
    x = 21,376,003.97/5,760.64
  6. Step 6: Final answer
    x = 3,710.70

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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.