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Finding the Fourth Proportional to 5,230.70, 7,848.72 and 3,476.90

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Solution

The fourth proportional to 5,230.70, 7,848.72 and 3,476.90 is: 5,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.70 : 7,848.72 = 3,476.90 : x
  2. Step 2: Convert to fraction form
    5,230.70/7,848.72 = 3,476.90/x
  3. Step 3: Cross multiply
    5,230.70x = 7,848.72 × 3,476.90
  4. Step 4: Simplify right side
    5,230.70x = 27,289,221.89
  5. Step 5: Solve for x
    x = 27,289,221.89/5,230.70
  6. Step 6: Final answer
    x = 5,217.12

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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.