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Finding the Fourth Proportional to 5,118.52, 7,679.22 and 1,656.76

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Solution

The fourth proportional to 5,118.52, 7,679.22 and 1,656.76 is: 2,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.52 : 7,679.22 = 1,656.76 : x
  2. Step 2: Convert to fraction form
    5,118.52/7,679.22 = 1,656.76/x
  3. Step 3: Cross multiply
    5,118.52x = 7,679.22 × 1,656.76
  4. Step 4: Simplify right side
    5,118.52x = 12,722,624.53
  5. Step 5: Solve for x
    x = 12,722,624.53/5,118.52
  6. Step 6: Final answer
    x = 2,485.61

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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.