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Finding the Fourth Proportional to 4,658.22, 6,981.15 and 3,419.83

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Solution

The fourth proportional to 4,658.22, 6,981.15 and 3,419.83 is: 5,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.22 : 6,981.15 = 3,419.83 : x
  2. Step 2: Convert to fraction form
    4,658.22/6,981.15 = 3,419.83/x
  3. Step 3: Cross multiply
    4,658.22x = 6,981.15 × 3,419.83
  4. Step 4: Simplify right side
    4,658.22x = 23,874,346.20
  5. Step 5: Solve for x
    x = 23,874,346.20/4,658.22
  6. Step 6: Final answer
    x = 5,125.21

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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.