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Finding the Fourth Proportional to 5,771.47, 7,964.15 and 3,254.20

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Solution

The fourth proportional to 5,771.47, 7,964.15 and 3,254.20 is: 4,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.47 : 7,964.15 = 3,254.20 : x
  2. Step 2: Convert to fraction form
    5,771.47/7,964.15 = 3,254.20/x
  3. Step 3: Cross multiply
    5,771.47x = 7,964.15 × 3,254.20
  4. Step 4: Simplify right side
    5,771.47x = 25,916,900.75
  5. Step 5: Solve for x
    x = 25,916,900.75/5,771.47
  6. Step 6: Final answer
    x = 4,490.52

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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.