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Finding the Fourth Proportional to 5,806.64, 8,748.70 and 5,251.99

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Solution

The fourth proportional to 5,806.64, 8,748.70 and 5,251.99 is: 7,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.64 : 8,748.70 = 5,251.99 : x
  2. Step 2: Convert to fraction form
    5,806.64/8,748.70 = 5,251.99/x
  3. Step 3: Cross multiply
    5,806.64x = 8,748.70 × 5,251.99
  4. Step 4: Simplify right side
    5,806.64x = 45,948,073.98
  5. Step 5: Solve for x
    x = 45,948,073.98/5,806.64
  6. Step 6: Final answer
    x = 7,913.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.