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Finding the Fourth Proportional to 5,754.40, 7,935.12 and 4,266.40

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Solution

The fourth proportional to 5,754.40, 7,935.12 and 4,266.40 is: 5,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.40 : 7,935.12 = 4,266.40 : x
  2. Step 2: Convert to fraction form
    5,754.40/7,935.12 = 4,266.40/x
  3. Step 3: Cross multiply
    5,754.40x = 7,935.12 × 4,266.40
  4. Step 4: Simplify right side
    5,754.40x = 33,854,395.97
  5. Step 5: Solve for x
    x = 33,854,395.97/5,754.40
  6. Step 6: Final answer
    x = 5,883.22

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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.