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Finding the Fourth Proportional to 3,542.40, 4,888.36 and 1,970.40

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Solution

The fourth proportional to 3,542.40, 4,888.36 and 1,970.40 is: 2,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.40 : 4,888.36 = 1,970.40 : x
  2. Step 2: Convert to fraction form
    3,542.40/4,888.36 = 1,970.40/x
  3. Step 3: Cross multiply
    3,542.40x = 4,888.36 × 1,970.40
  4. Step 4: Simplify right side
    3,542.40x = 9,632,024.54
  5. Step 5: Solve for x
    x = 9,632,024.54/3,542.40
  6. Step 6: Final answer
    x = 2,719.07

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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.