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Finding the Fourth Proportional to 4,122.90, 5,689.17 and 2,444.22

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Solution

The fourth proportional to 4,122.90, 5,689.17 and 2,444.22 is: 3,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.90 : 5,689.17 = 2,444.22 : x
  2. Step 2: Convert to fraction form
    4,122.90/5,689.17 = 2,444.22/x
  3. Step 3: Cross multiply
    4,122.90x = 5,689.17 × 2,444.22
  4. Step 4: Simplify right side
    4,122.90x = 13,905,583.10
  5. Step 5: Solve for x
    x = 13,905,583.10/4,122.90
  6. Step 6: Final answer
    x = 3,372.77

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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.