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Finding the Fourth Proportional to 3,422.96, 4,724.16 and 2,537.36

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Solution

The fourth proportional to 3,422.96, 4,724.16 and 2,537.36 is: 3,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.96 : 4,724.16 = 2,537.36 : x
  2. Step 2: Convert to fraction form
    3,422.96/4,724.16 = 2,537.36/x
  3. Step 3: Cross multiply
    3,422.96x = 4,724.16 × 2,537.36
  4. Step 4: Simplify right side
    3,422.96x = 11,986,894.62
  5. Step 5: Solve for x
    x = 11,986,894.62/3,422.96
  6. Step 6: Final answer
    x = 3,501.91

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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.