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Finding the Fourth Proportional to 3,549.90, 5,323.82 and 1,358.46

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Solution

The fourth proportional to 3,549.90, 5,323.82 and 1,358.46 is: 2,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.90 : 5,323.82 = 1,358.46 : x
  2. Step 2: Convert to fraction form
    3,549.90/5,323.82 = 1,358.46/x
  3. Step 3: Cross multiply
    3,549.90x = 5,323.82 × 1,358.46
  4. Step 4: Simplify right side
    3,549.90x = 7,232,196.52
  5. Step 5: Solve for x
    x = 7,232,196.52/3,549.90
  6. Step 6: Final answer
    x = 2,037.30

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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.