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Finding the Fourth Proportional to 3,549.34, 5,324.96 and 1,358.25

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Solution

The fourth proportional to 3,549.34, 5,324.96 and 1,358.25 is: 2,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.34 : 5,324.96 = 1,358.25 : x
  2. Step 2: Convert to fraction form
    3,549.34/5,324.96 = 1,358.25/x
  3. Step 3: Cross multiply
    3,549.34x = 5,324.96 × 1,358.25
  4. Step 4: Simplify right side
    3,549.34x = 7,232,626.92
  5. Step 5: Solve for x
    x = 7,232,626.92/3,549.34
  6. Step 6: Final answer
    x = 2,037.74

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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.