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Finding the Fourth Proportional to 5,665.88, 7,819.85 and 3,148.81

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Solution

The fourth proportional to 5,665.88, 7,819.85 and 3,148.81 is: 4,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.88 : 7,819.85 = 3,148.81 : x
  2. Step 2: Convert to fraction form
    5,665.88/7,819.85 = 3,148.81/x
  3. Step 3: Cross multiply
    5,665.88x = 7,819.85 × 3,148.81
  4. Step 4: Simplify right side
    5,665.88x = 24,623,210.20
  5. Step 5: Solve for x
    x = 24,623,210.20/5,665.88
  6. Step 6: Final answer
    x = 4,345.87

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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.