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Finding the Fourth Proportional to 3,542.76, 5,314.02 and 1,202.68

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Solution

The fourth proportional to 3,542.76, 5,314.02 and 1,202.68 is: 1,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.76 : 5,314.02 = 1,202.68 : x
  2. Step 2: Convert to fraction form
    3,542.76/5,314.02 = 1,202.68/x
  3. Step 3: Cross multiply
    3,542.76x = 5,314.02 × 1,202.68
  4. Step 4: Simplify right side
    3,542.76x = 6,391,065.57
  5. Step 5: Solve for x
    x = 6,391,065.57/3,542.76
  6. Step 6: Final answer
    x = 1,803.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.