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Finding the Fourth Proportional to 5,148.50, 7,724.04 and 2,377.11

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Solution

The fourth proportional to 5,148.50, 7,724.04 and 2,377.11 is: 3,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.50 : 7,724.04 = 2,377.11 : x
  2. Step 2: Convert to fraction form
    5,148.50/7,724.04 = 2,377.11/x
  3. Step 3: Cross multiply
    5,148.50x = 7,724.04 × 2,377.11
  4. Step 4: Simplify right side
    5,148.50x = 18,360,892.72
  5. Step 5: Solve for x
    x = 18,360,892.72/5,148.50
  6. Step 6: Final answer
    x = 3,566.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.