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Finding the Fourth Proportional to 5,665.50, 7,818.48 and 3,309.30

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Solution

The fourth proportional to 5,665.50, 7,818.48 and 3,309.30 is: 4,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.50 : 7,818.48 = 3,309.30 : x
  2. Step 2: Convert to fraction form
    5,665.50/7,818.48 = 3,309.30/x
  3. Step 3: Cross multiply
    5,665.50x = 7,818.48 × 3,309.30
  4. Step 4: Simplify right side
    5,665.50x = 25,873,695.86
  5. Step 5: Solve for x
    x = 25,873,695.86/5,665.50
  6. Step 6: Final answer
    x = 4,566.89

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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.