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Finding the Fourth Proportional to 5,700.44, 7,866.70 and 3,342.62

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Solution

The fourth proportional to 5,700.44, 7,866.70 and 3,342.62 is: 4,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.44 : 7,866.70 = 3,342.62 : x
  2. Step 2: Convert to fraction form
    5,700.44/7,866.70 = 3,342.62/x
  3. Step 3: Cross multiply
    5,700.44x = 7,866.70 × 3,342.62
  4. Step 4: Simplify right side
    5,700.44x = 26,295,388.75
  5. Step 5: Solve for x
    x = 26,295,388.75/5,700.44
  6. Step 6: Final answer
    x = 4,612.87

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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.