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Finding the Fourth Proportional to 5,136.32, 7,041.87 and 5,042.90

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Solution

The fourth proportional to 5,136.32, 7,041.87 and 5,042.90 is: 6,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.32 : 7,041.87 = 5,042.90 : x
  2. Step 2: Convert to fraction form
    5,136.32/7,041.87 = 5,042.90/x
  3. Step 3: Cross multiply
    5,136.32x = 7,041.87 × 5,042.90
  4. Step 4: Simplify right side
    5,136.32x = 35,511,446.22
  5. Step 5: Solve for x
    x = 35,511,446.22/5,136.32
  6. Step 6: Final answer
    x = 6,913.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.