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Finding the Fourth Proportional to 5,444.60, 8,176.80 and 4,764.20

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Solution

The fourth proportional to 5,444.60, 8,176.80 and 4,764.20 is: 7,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.60 : 8,176.80 = 4,764.20 : x
  2. Step 2: Convert to fraction form
    5,444.60/8,176.80 = 4,764.20/x
  3. Step 3: Cross multiply
    5,444.60x = 8,176.80 × 4,764.20
  4. Step 4: Simplify right side
    5,444.60x = 38,955,910.56
  5. Step 5: Solve for x
    x = 38,955,910.56/5,444.60
  6. Step 6: Final answer
    x = 7,154.96

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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.