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Finding the Fourth Proportional to 3,542.40, 4,889.80 and 2,051

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Solution

The fourth proportional to 3,542.40, 4,889.80 and 2,051 is: 2,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.40 : 4,889.80 = 2,051 : x
  2. Step 2: Convert to fraction form
    3,542.40/4,889.80 = 2,051/x
  3. Step 3: Cross multiply
    3,542.40x = 4,889.80 × 2,051
  4. Step 4: Simplify right side
    3,542.40x = 10,028,979.80
  5. Step 5: Solve for x
    x = 10,028,979.80/3,542.40
  6. Step 6: Final answer
    x = 2,831.13

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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.