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Finding the Fourth Proportional to 4,110.90, 5,674.50 and 2,432.90

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Solution

The fourth proportional to 4,110.90, 5,674.50 and 2,432.90 is: 3,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.90 : 5,674.50 = 2,432.90 : x
  2. Step 2: Convert to fraction form
    4,110.90/5,674.50 = 2,432.90/x
  3. Step 3: Cross multiply
    4,110.90x = 5,674.50 × 2,432.90
  4. Step 4: Simplify right side
    4,110.90x = 13,805,491.05
  5. Step 5: Solve for x
    x = 13,805,491.05/4,110.90
  6. Step 6: Final answer
    x = 3,358.26

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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.