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Finding the Fourth Proportional to 3,542.70, 4,889.05 and 2,030.52

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Solution

The fourth proportional to 3,542.70, 4,889.05 and 2,030.52 is: 2,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.70 : 4,889.05 = 2,030.52 : x
  2. Step 2: Convert to fraction form
    3,542.70/4,889.05 = 2,030.52/x
  3. Step 3: Cross multiply
    3,542.70x = 4,889.05 × 2,030.52
  4. Step 4: Simplify right side
    3,542.70x = 9,927,308.73
  5. Step 5: Solve for x
    x = 9,927,308.73/3,542.70
  6. Step 6: Final answer
    x = 2,802.19

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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.