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Finding the Fourth Proportional to 3,532.76, 5,298.11 and 1,424.38

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Solution

The fourth proportional to 3,532.76, 5,298.11 and 1,424.38 is: 2,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.76 : 5,298.11 = 1,424.38 : x
  2. Step 2: Convert to fraction form
    3,532.76/5,298.11 = 1,424.38/x
  3. Step 3: Cross multiply
    3,532.76x = 5,298.11 × 1,424.38
  4. Step 4: Simplify right side
    3,532.76x = 7,546,521.92
  5. Step 5: Solve for x
    x = 7,546,521.92/3,532.76
  6. Step 6: Final answer
    x = 2,136.15

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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.