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Finding the Fourth Proportional to 3,213.18, 4,820.51 and 991.92

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Solution

The fourth proportional to 3,213.18, 4,820.51 and 991.92 is: 1,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.18 : 4,820.51 = 991.92 : x
  2. Step 2: Convert to fraction form
    3,213.18/4,820.51 = 991.92/x
  3. Step 3: Cross multiply
    3,213.18x = 4,820.51 × 991.92
  4. Step 4: Simplify right side
    3,213.18x = 4,781,580.84
  5. Step 5: Solve for x
    x = 4,781,580.84/3,213.18
  6. Step 6: Final answer
    x = 1,488.11

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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.