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Finding the Fourth Proportional to 5,566.60, 7,680.05 and 3,208.69

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Solution

The fourth proportional to 5,566.60, 7,680.05 and 3,208.69 is: 4,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.60 : 7,680.05 = 3,208.69 : x
  2. Step 2: Convert to fraction form
    5,566.60/7,680.05 = 3,208.69/x
  3. Step 3: Cross multiply
    5,566.60x = 7,680.05 × 3,208.69
  4. Step 4: Simplify right side
    5,566.60x = 24,642,883.59
  5. Step 5: Solve for x
    x = 24,642,883.59/5,566.60
  6. Step 6: Final answer
    x = 4,426.92

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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.