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Finding the Fourth Proportional to 5,710.44, 7,874.16 and 4,387.32

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Solution

The fourth proportional to 5,710.44, 7,874.16 and 4,387.32 is: 6,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.44 : 7,874.16 = 4,387.32 : x
  2. Step 2: Convert to fraction form
    5,710.44/7,874.16 = 4,387.32/x
  3. Step 3: Cross multiply
    5,710.44x = 7,874.16 × 4,387.32
  4. Step 4: Simplify right side
    5,710.44x = 34,546,459.65
  5. Step 5: Solve for x
    x = 34,546,459.65/5,710.44
  6. Step 6: Final answer
    x = 6,049.70

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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.