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Finding the Fourth Proportional to 5,283.52, 7,915.20 and 3,204.16

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Solution

The fourth proportional to 5,283.52, 7,915.20 and 3,204.16 is: 4,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.52 : 7,915.20 = 3,204.16 : x
  2. Step 2: Convert to fraction form
    5,283.52/7,915.20 = 3,204.16/x
  3. Step 3: Cross multiply
    5,283.52x = 7,915.20 × 3,204.16
  4. Step 4: Simplify right side
    5,283.52x = 25,361,567.23
  5. Step 5: Solve for x
    x = 25,361,567.23/5,283.52
  6. Step 6: Final answer
    x = 4,800.13

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1.5x scale

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.