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Finding the Fourth Proportional to 4,070.91, 6,105.83 and 1,149.47

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Solution

The fourth proportional to 4,070.91, 6,105.83 and 1,149.47 is: 1,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.91 : 6,105.83 = 1,149.47 : x
  2. Step 2: Convert to fraction form
    4,070.91/6,105.83 = 1,149.47/x
  3. Step 3: Cross multiply
    4,070.91x = 6,105.83 × 1,149.47
  4. Step 4: Simplify right side
    4,070.91x = 7,018,432.13
  5. Step 5: Solve for x
    x = 7,018,432.13/4,070.91
  6. Step 6: Final answer
    x = 1,724.05

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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.