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Finding the Fourth Proportional to 3,483.28, 5,229.80 and 2,316.88

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Solution

The fourth proportional to 3,483.28, 5,229.80 and 2,316.88 is: 3,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.28 : 5,229.80 = 2,316.88 : x
  2. Step 2: Convert to fraction form
    3,483.28/5,229.80 = 2,316.88/x
  3. Step 3: Cross multiply
    3,483.28x = 5,229.80 × 2,316.88
  4. Step 4: Simplify right side
    3,483.28x = 12,116,819.02
  5. Step 5: Solve for x
    x = 12,116,819.02/3,483.28
  6. Step 6: Final answer
    x = 3,478.57

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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.