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Finding the Fourth Proportional to 5,672.35, 7,828.07 and 3,154.44

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Solution

The fourth proportional to 5,672.35, 7,828.07 and 3,154.44 is: 4,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.35 : 7,828.07 = 3,154.44 : x
  2. Step 2: Convert to fraction form
    5,672.35/7,828.07 = 3,154.44/x
  3. Step 3: Cross multiply
    5,672.35x = 7,828.07 × 3,154.44
  4. Step 4: Simplify right side
    5,672.35x = 24,693,177.13
  5. Step 5: Solve for x
    x = 24,693,177.13/5,672.35
  6. Step 6: Final answer
    x = 4,353.25

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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.