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Finding the Fourth Proportional to 5,422.02, 7,482.66 and 3,064.28

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Solution

The fourth proportional to 5,422.02, 7,482.66 and 3,064.28 is: 4,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.02 : 7,482.66 = 3,064.28 : x
  2. Step 2: Convert to fraction form
    5,422.02/7,482.66 = 3,064.28/x
  3. Step 3: Cross multiply
    5,422.02x = 7,482.66 × 3,064.28
  4. Step 4: Simplify right side
    5,422.02x = 22,928,965.38
  5. Step 5: Solve for x
    x = 22,928,965.38/5,422.02
  6. Step 6: Final answer
    x = 4,228.86

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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.