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Finding the Fourth Proportional to 3,542.36, 4,888.44 and 1,970.44

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Solution

The fourth proportional to 3,542.36, 4,888.44 and 1,970.44 is: 2,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.36 : 4,888.44 = 1,970.44 : x
  2. Step 2: Convert to fraction form
    3,542.36/4,888.44 = 1,970.44/x
  3. Step 3: Cross multiply
    3,542.36x = 4,888.44 × 1,970.44
  4. Step 4: Simplify right side
    3,542.36x = 9,632,377.71
  5. Step 5: Solve for x
    x = 9,632,377.71/3,542.36
  6. Step 6: Final answer
    x = 2,719.20

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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.