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Finding the Fourth Proportional to 3,595.42, 4,961.52 and 2,002.15

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Solution

The fourth proportional to 3,595.42, 4,961.52 and 2,002.15 is: 2,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.42 : 4,961.52 = 2,002.15 : x
  2. Step 2: Convert to fraction form
    3,595.42/4,961.52 = 2,002.15/x
  3. Step 3: Cross multiply
    3,595.42x = 4,961.52 × 2,002.15
  4. Step 4: Simplify right side
    3,595.42x = 9,933,707.27
  5. Step 5: Solve for x
    x = 9,933,707.27/3,595.42
  6. Step 6: Final answer
    x = 2,762.88

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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.