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Finding the Fourth Proportional to 5,911.50, 8,870.80 and 5,306.43

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Solution

The fourth proportional to 5,911.50, 8,870.80 and 5,306.43 is: 7,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.50 : 8,870.80 = 5,306.43 : x
  2. Step 2: Convert to fraction form
    5,911.50/8,870.80 = 5,306.43/x
  3. Step 3: Cross multiply
    5,911.50x = 8,870.80 × 5,306.43
  4. Step 4: Simplify right side
    5,911.50x = 47,072,279.24
  5. Step 5: Solve for x
    x = 47,072,279.24/5,911.50
  6. Step 6: Final answer
    x = 7,962.83

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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.