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Finding the Fourth Proportional to 5,319.27, 7,978.91 and 1,621.42

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Solution

The fourth proportional to 5,319.27, 7,978.91 and 1,621.42 is: 2,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.27 : 7,978.91 = 1,621.42 : x
  2. Step 2: Convert to fraction form
    5,319.27/7,978.91 = 1,621.42/x
  3. Step 3: Cross multiply
    5,319.27x = 7,978.91 × 1,621.42
  4. Step 4: Simplify right side
    5,319.27x = 12,937,136.20
  5. Step 5: Solve for x
    x = 12,937,136.20/5,319.27
  6. Step 6: Final answer
    x = 2,432.13

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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.