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Finding the Fourth Proportional to 5,486.87, 8,233.95 and 2,565.41

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Solution

The fourth proportional to 5,486.87, 8,233.95 and 2,565.41 is: 3,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.87 : 8,233.95 = 2,565.41 : x
  2. Step 2: Convert to fraction form
    5,486.87/8,233.95 = 2,565.41/x
  3. Step 3: Cross multiply
    5,486.87x = 8,233.95 × 2,565.41
  4. Step 4: Simplify right side
    5,486.87x = 21,123,457.67
  5. Step 5: Solve for x
    x = 21,123,457.67/5,486.87
  6. Step 6: Final answer
    x = 3,849.82

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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.