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Finding the Fourth Proportional to 3,913.45, 5,870.37 and 991.78

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Solution

The fourth proportional to 3,913.45, 5,870.37 and 991.78 is: 1,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.45 : 5,870.37 = 991.78 : x
  2. Step 2: Convert to fraction form
    3,913.45/5,870.37 = 991.78/x
  3. Step 3: Cross multiply
    3,913.45x = 5,870.37 × 991.78
  4. Step 4: Simplify right side
    3,913.45x = 5,822,104.60
  5. Step 5: Solve for x
    x = 5,822,104.60/3,913.45
  6. Step 6: Final answer
    x = 1,487.72

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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.