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Finding the Fourth Proportional to 5,614.47, 8,421.57 and 1,454.33

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Solution

The fourth proportional to 5,614.47, 8,421.57 and 1,454.33 is: 2,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.47 : 8,421.57 = 1,454.33 : x
  2. Step 2: Convert to fraction form
    5,614.47/8,421.57 = 1,454.33/x
  3. Step 3: Cross multiply
    5,614.47x = 8,421.57 × 1,454.33
  4. Step 4: Simplify right side
    5,614.47x = 12,247,757.50
  5. Step 5: Solve for x
    x = 12,247,757.50/5,614.47
  6. Step 6: Final answer
    x = 2,181.46

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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.