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Finding the Fourth Proportional to 3,522.30, 5,281.88 and 1,056.66

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Solution

The fourth proportional to 3,522.30, 5,281.88 and 1,056.66 is: 1,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.30 : 5,281.88 = 1,056.66 : x
  2. Step 2: Convert to fraction form
    3,522.30/5,281.88 = 1,056.66/x
  3. Step 3: Cross multiply
    3,522.30x = 5,281.88 × 1,056.66
  4. Step 4: Simplify right side
    3,522.30x = 5,581,124.91
  5. Step 5: Solve for x
    x = 5,581,124.91/3,522.30
  6. Step 6: Final answer
    x = 1,584.51

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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.