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Finding the Fourth Proportional to 5,771.40, 7,964.06 and 3,254.13

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Solution

The fourth proportional to 5,771.40, 7,964.06 and 3,254.13 is: 4,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.40 : 7,964.06 = 3,254.13 : x
  2. Step 2: Convert to fraction form
    5,771.40/7,964.06 = 3,254.13/x
  3. Step 3: Cross multiply
    5,771.40x = 7,964.06 × 3,254.13
  4. Step 4: Simplify right side
    5,771.40x = 25,916,070.30
  5. Step 5: Solve for x
    x = 25,916,070.30/5,771.40
  6. Step 6: Final answer
    x = 4,490.43

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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.