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Finding the Fourth Proportional to 5,856.73, 8,764.13 and 5,465.70

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Solution

The fourth proportional to 5,856.73, 8,764.13 and 5,465.70 is: 8,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.73 : 8,764.13 = 5,465.70 : x
  2. Step 2: Convert to fraction form
    5,856.73/8,764.13 = 5,465.70/x
  3. Step 3: Cross multiply
    5,856.73x = 8,764.13 × 5,465.70
  4. Step 4: Simplify right side
    5,856.73x = 47,902,119.01
  5. Step 5: Solve for x
    x = 47,902,119.01/5,856.73
  6. Step 6: Final answer
    x = 8,178.99

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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.