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Finding the Fourth Proportional to 3,372.32, 5,058 and 1,424.07

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Solution

The fourth proportional to 3,372.32, 5,058 and 1,424.07 is: 2,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,372.32 : 5,058 = 1,424.07 : x
  2. Step 2: Convert to fraction form
    3,372.32/5,058 = 1,424.07/x
  3. Step 3: Cross multiply
    3,372.32x = 5,058 × 1,424.07
  4. Step 4: Simplify right side
    3,372.32x = 7,202,946.06
  5. Step 5: Solve for x
    x = 7,202,946.06/3,372.32
  6. Step 6: Final answer
    x = 2,135.91

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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.