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Finding the Fourth Proportional to 4,679.92, 6,457.98 and 3,687.76

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Solution

The fourth proportional to 4,679.92, 6,457.98 and 3,687.76 is: 5,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.92 : 6,457.98 = 3,687.76 : x
  2. Step 2: Convert to fraction form
    4,679.92/6,457.98 = 3,687.76/x
  3. Step 3: Cross multiply
    4,679.92x = 6,457.98 × 3,687.76
  4. Step 4: Simplify right side
    4,679.92x = 23,815,480.32
  5. Step 5: Solve for x
    x = 23,815,480.32/4,679.92
  6. Step 6: Final answer
    x = 5,088.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.