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Finding the Fourth Proportional to 3,542.54, 4,886.12 and 2,422.31

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Solution

The fourth proportional to 3,542.54, 4,886.12 and 2,422.31 is: 3,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.54 : 4,886.12 = 2,422.31 : x
  2. Step 2: Convert to fraction form
    3,542.54/4,886.12 = 2,422.31/x
  3. Step 3: Cross multiply
    3,542.54x = 4,886.12 × 2,422.31
  4. Step 4: Simplify right side
    3,542.54x = 11,835,678.96
  5. Step 5: Solve for x
    x = 11,835,678.96/3,542.54
  6. Step 6: Final answer
    x = 3,341.02

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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.