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Finding the Fourth Proportional to 5,282.16, 7,920.90 and 1,583.16

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Solution

The fourth proportional to 5,282.16, 7,920.90 and 1,583.16 is: 2,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.16 : 7,920.90 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    5,282.16/7,920.90 = 1,583.16/x
  3. Step 3: Cross multiply
    5,282.16x = 7,920.90 × 1,583.16
  4. Step 4: Simplify right side
    5,282.16x = 12,540,052.04
  5. Step 5: Solve for x
    x = 12,540,052.04/5,282.16
  6. Step 6: Final answer
    x = 2,374.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.