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Finding the Fourth Proportional to 5,770.90, 7,964.49 and 3,253.06

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Solution

The fourth proportional to 5,770.90, 7,964.49 and 3,253.06 is: 4,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.90 : 7,964.49 = 3,253.06 : x
  2. Step 2: Convert to fraction form
    5,770.90/7,964.49 = 3,253.06/x
  3. Step 3: Cross multiply
    5,770.90x = 7,964.49 × 3,253.06
  4. Step 4: Simplify right side
    5,770.90x = 25,908,963.84
  5. Step 5: Solve for x
    x = 25,908,963.84/5,770.90
  6. Step 6: Final answer
    x = 4,489.59

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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.