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Finding the Fourth Proportional to 5,876.60, 8,765.58 and 5,399

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Solution

The fourth proportional to 5,876.60, 8,765.58 and 5,399 is: 8,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.60 : 8,765.58 = 5,399 : x
  2. Step 2: Convert to fraction form
    5,876.60/8,765.58 = 5,399/x
  3. Step 3: Cross multiply
    5,876.60x = 8,765.58 × 5,399
  4. Step 4: Simplify right side
    5,876.60x = 47,325,366.42
  5. Step 5: Solve for x
    x = 47,325,366.42/5,876.60
  6. Step 6: Final answer
    x = 8,053.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.