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Finding the Fourth Proportional to 5,672.50, 7,828.04 and 3,154.54

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Solution

The fourth proportional to 5,672.50, 7,828.04 and 3,154.54 is: 4,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.50 : 7,828.04 = 3,154.54 : x
  2. Step 2: Convert to fraction form
    5,672.50/7,828.04 = 3,154.54/x
  3. Step 3: Cross multiply
    5,672.50x = 7,828.04 × 3,154.54
  4. Step 4: Simplify right side
    5,672.50x = 24,693,865.30
  5. Step 5: Solve for x
    x = 24,693,865.30/5,672.50
  6. Step 6: Final answer
    x = 4,353.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.