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Finding the Fourth Proportional to 5,337.44, 7,971.12 and 4,549.04

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Solution

The fourth proportional to 5,337.44, 7,971.12 and 4,549.04 is: 6,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.44 : 7,971.12 = 4,549.04 : x
  2. Step 2: Convert to fraction form
    5,337.44/7,971.12 = 4,549.04/x
  3. Step 3: Cross multiply
    5,337.44x = 7,971.12 × 4,549.04
  4. Step 4: Simplify right side
    5,337.44x = 36,260,943.72
  5. Step 5: Solve for x
    x = 36,260,943.72/5,337.44
  6. Step 6: Final answer
    x = 6,793.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.