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Finding the Fourth Proportional to 3,522.27, 5,282.99 and 925.41

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Solution

The fourth proportional to 3,522.27, 5,282.99 and 925.41 is: 1,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.27 : 5,282.99 = 925.41 : x
  2. Step 2: Convert to fraction form
    3,522.27/5,282.99 = 925.41/x
  3. Step 3: Cross multiply
    3,522.27x = 5,282.99 × 925.41
  4. Step 4: Simplify right side
    3,522.27x = 4,888,931.78
  5. Step 5: Solve for x
    x = 4,888,931.78/3,522.27
  6. Step 6: Final answer
    x = 1,388.01

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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.