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Finding the Fourth Proportional to 4,588.92, 6,881.29 and 3,202.88

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Solution

The fourth proportional to 4,588.92, 6,881.29 and 3,202.88 is: 4,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.92 : 6,881.29 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    4,588.92/6,881.29 = 3,202.88/x
  3. Step 3: Cross multiply
    4,588.92x = 6,881.29 × 3,202.88
  4. Step 4: Simplify right side
    4,588.92x = 22,039,903.70
  5. Step 5: Solve for x
    x = 22,039,903.70/4,588.92
  6. Step 6: Final answer
    x = 4,802.85

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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.