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Finding the Fourth Proportional to 3,710.64, 5,565.96 and 1,113.24

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Solution

The fourth proportional to 3,710.64, 5,565.96 and 1,113.24 is: 1,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.64 : 5,565.96 = 1,113.24 : x
  2. Step 2: Convert to fraction form
    3,710.64/5,565.96 = 1,113.24/x
  3. Step 3: Cross multiply
    3,710.64x = 5,565.96 × 1,113.24
  4. Step 4: Simplify right side
    3,710.64x = 6,196,249.31
  5. Step 5: Solve for x
    x = 6,196,249.31/3,710.64
  6. Step 6: Final answer
    x = 1,669.86

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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.