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Finding the Fourth Proportional to 4,070.64, 6,105.42 and 1,149.15

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Solution

The fourth proportional to 4,070.64, 6,105.42 and 1,149.15 is: 1,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.64 : 6,105.42 = 1,149.15 : x
  2. Step 2: Convert to fraction form
    4,070.64/6,105.42 = 1,149.15/x
  3. Step 3: Cross multiply
    4,070.64x = 6,105.42 × 1,149.15
  4. Step 4: Simplify right side
    4,070.64x = 7,016,043.39
  5. Step 5: Solve for x
    x = 7,016,043.39/4,070.64
  6. Step 6: Final answer
    x = 1,723.57

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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.