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Finding the Fourth Proportional to 3,057.64, 4,587.41 and 1,109.86

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Solution

The fourth proportional to 3,057.64, 4,587.41 and 1,109.86 is: 1,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,587.41 = 1,109.86 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,587.41 = 1,109.86/x
  3. Step 3: Cross multiply
    3,057.64x = 4,587.41 × 1,109.86
  4. Step 4: Simplify right side
    3,057.64x = 5,091,382.86
  5. Step 5: Solve for x
    x = 5,091,382.86/3,057.64
  6. Step 6: Final answer
    x = 1,665.13

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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.