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Finding the Fourth Proportional to 6,142.78, 8,473.86 and 4,154.05

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Solution

The fourth proportional to 6,142.78, 8,473.86 and 4,154.05 is: 5,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.78 : 8,473.86 = 4,154.05 : x
  2. Step 2: Convert to fraction form
    6,142.78/8,473.86 = 4,154.05/x
  3. Step 3: Cross multiply
    6,142.78x = 8,473.86 × 4,154.05
  4. Step 4: Simplify right side
    6,142.78x = 35,200,838.13
  5. Step 5: Solve for x
    x = 35,200,838.13/6,142.78
  6. Step 6: Final answer
    x = 5,730.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.