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Finding the Fourth Proportional to 5,414.12, 8,118.12 and 1,715.66

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Solution

The fourth proportional to 5,414.12, 8,118.12 and 1,715.66 is: 2,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.12 : 8,118.12 = 1,715.66 : x
  2. Step 2: Convert to fraction form
    5,414.12/8,118.12 = 1,715.66/x
  3. Step 3: Cross multiply
    5,414.12x = 8,118.12 × 1,715.66
  4. Step 4: Simplify right side
    5,414.12x = 13,927,933.76
  5. Step 5: Solve for x
    x = 13,927,933.76/5,414.12
  6. Step 6: Final answer
    x = 2,572.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.