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Finding the Fourth Proportional to 3,532.33, 5,298.26 and 1,451.80

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Solution

The fourth proportional to 3,532.33, 5,298.26 and 1,451.80 is: 2,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.33 : 5,298.26 = 1,451.80 : x
  2. Step 2: Convert to fraction form
    3,532.33/5,298.26 = 1,451.80/x
  3. Step 3: Cross multiply
    3,532.33x = 5,298.26 × 1,451.80
  4. Step 4: Simplify right side
    3,532.33x = 7,692,013.87
  5. Step 5: Solve for x
    x = 7,692,013.87/3,532.33
  6. Step 6: Final answer
    x = 2,177.60

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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.