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Finding the Fourth Proportional to 4,675.14, 6,452.22 and 2,659.02

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Solution

The fourth proportional to 4,675.14, 6,452.22 and 2,659.02 is: 3,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.14 : 6,452.22 = 2,659.02 : x
  2. Step 2: Convert to fraction form
    4,675.14/6,452.22 = 2,659.02/x
  3. Step 3: Cross multiply
    4,675.14x = 6,452.22 × 2,659.02
  4. Step 4: Simplify right side
    4,675.14x = 17,156,582.02
  5. Step 5: Solve for x
    x = 17,156,582.02/4,675.14
  6. Step 6: Final answer
    x = 3,669.75

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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.