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Finding the Fourth Proportional to 5,331.66, 7,980.75 and 3,870.42

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Solution

The fourth proportional to 5,331.66, 7,980.75 and 3,870.42 is: 5,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.66 : 7,980.75 = 3,870.42 : x
  2. Step 2: Convert to fraction form
    5,331.66/7,980.75 = 3,870.42/x
  3. Step 3: Cross multiply
    5,331.66x = 7,980.75 × 3,870.42
  4. Step 4: Simplify right side
    5,331.66x = 30,888,854.42
  5. Step 5: Solve for x
    x = 30,888,854.42/5,331.66
  6. Step 6: Final answer
    x = 5,793.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.