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Finding the Fourth Proportional to 5,937.87, 8,909.88 and 4,307.88

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Solution

The fourth proportional to 5,937.87, 8,909.88 and 4,307.88 is: 6,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.87 : 8,909.88 = 4,307.88 : x
  2. Step 2: Convert to fraction form
    5,937.87/8,909.88 = 4,307.88/x
  3. Step 3: Cross multiply
    5,937.87x = 8,909.88 × 4,307.88
  4. Step 4: Simplify right side
    5,937.87x = 38,382,693.85
  5. Step 5: Solve for x
    x = 38,382,693.85/5,937.87
  6. Step 6: Final answer
    x = 6,464.05

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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.