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Finding the Fourth Proportional to 3,538.57, 5,306.03 and 1,316.49

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Solution

The fourth proportional to 3,538.57, 5,306.03 and 1,316.49 is: 1,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.57 : 5,306.03 = 1,316.49 : x
  2. Step 2: Convert to fraction form
    3,538.57/5,306.03 = 1,316.49/x
  3. Step 3: Cross multiply
    3,538.57x = 5,306.03 × 1,316.49
  4. Step 4: Simplify right side
    3,538.57x = 6,985,331.25
  5. Step 5: Solve for x
    x = 6,985,331.25/3,538.57
  6. Step 6: Final answer
    x = 1,974.05

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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.