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Finding the Fourth Proportional to 4,652.42, 6,422.02 and 3,081.02

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Solution

The fourth proportional to 4,652.42, 6,422.02 and 3,081.02 is: 4,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.42 : 6,422.02 = 3,081.02 : x
  2. Step 2: Convert to fraction form
    4,652.42/6,422.02 = 3,081.02/x
  3. Step 3: Cross multiply
    4,652.42x = 6,422.02 × 3,081.02
  4. Step 4: Simplify right side
    4,652.42x = 19,786,372.06
  5. Step 5: Solve for x
    x = 19,786,372.06/4,652.42
  6. Step 6: Final answer
    x = 4,252.92

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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.