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Finding the Fourth Proportional to 4,655.48, 6,422.69 and 2,862.34

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Solution

The fourth proportional to 4,655.48, 6,422.69 and 2,862.34 is: 3,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.48 : 6,422.69 = 2,862.34 : x
  2. Step 2: Convert to fraction form
    4,655.48/6,422.69 = 2,862.34/x
  3. Step 3: Cross multiply
    4,655.48x = 6,422.69 × 2,862.34
  4. Step 4: Simplify right side
    4,655.48x = 18,383,913.59
  5. Step 5: Solve for x
    x = 18,383,913.59/4,655.48
  6. Step 6: Final answer
    x = 3,948.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.