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Finding the Fourth Proportional to 3,521.56, 5,282.14 and 1,056.43

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Solution

The fourth proportional to 3,521.56, 5,282.14 and 1,056.43 is: 1,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.56 : 5,282.14 = 1,056.43 : x
  2. Step 2: Convert to fraction form
    3,521.56/5,282.14 = 1,056.43/x
  3. Step 3: Cross multiply
    3,521.56x = 5,282.14 × 1,056.43
  4. Step 4: Simplify right side
    3,521.56x = 5,580,211.16
  5. Step 5: Solve for x
    x = 5,580,211.16/3,521.56
  6. Step 6: Final answer
    x = 1,584.59

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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.