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Finding the Fourth Proportional to 4,057.32, 6,086.14 and 1,135.88

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Solution

The fourth proportional to 4,057.32, 6,086.14 and 1,135.88 is: 1,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.32 : 6,086.14 = 1,135.88 : x
  2. Step 2: Convert to fraction form
    4,057.32/6,086.14 = 1,135.88/x
  3. Step 3: Cross multiply
    4,057.32x = 6,086.14 × 1,135.88
  4. Step 4: Simplify right side
    4,057.32x = 6,913,124.70
  5. Step 5: Solve for x
    x = 6,913,124.70/4,057.32
  6. Step 6: Final answer
    x = 1,703.86

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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.