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Finding the Fourth Proportional to 5,665.68, 7,819.13 and 3,308.58

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Solution

The fourth proportional to 5,665.68, 7,819.13 and 3,308.58 is: 4,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.68 : 7,819.13 = 3,308.58 : x
  2. Step 2: Convert to fraction form
    5,665.68/7,819.13 = 3,308.58/x
  3. Step 3: Cross multiply
    5,665.68x = 7,819.13 × 3,308.58
  4. Step 4: Simplify right side
    5,665.68x = 25,870,225.41
  5. Step 5: Solve for x
    x = 25,870,225.41/5,665.68
  6. Step 6: Final answer
    x = 4,566.13

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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.