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Finding the Fourth Proportional to 5,350.60, 8,024.10 and 3,717.64

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Solution

The fourth proportional to 5,350.60, 8,024.10 and 3,717.64 is: 5,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.60 : 8,024.10 = 3,717.64 : x
  2. Step 2: Convert to fraction form
    5,350.60/8,024.10 = 3,717.64/x
  3. Step 3: Cross multiply
    5,350.60x = 8,024.10 × 3,717.64
  4. Step 4: Simplify right side
    5,350.60x = 29,830,715.12
  5. Step 5: Solve for x
    x = 29,830,715.12/5,350.60
  6. Step 6: Final answer
    x = 5,575.21

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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.