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Finding the Fourth Proportional to 3,452.60, 4,765.64 and 2,036.18

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Solution

The fourth proportional to 3,452.60, 4,765.64 and 2,036.18 is: 2,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.60 : 4,765.64 = 2,036.18 : x
  2. Step 2: Convert to fraction form
    3,452.60/4,765.64 = 2,036.18/x
  3. Step 3: Cross multiply
    3,452.60x = 4,765.64 × 2,036.18
  4. Step 4: Simplify right side
    3,452.60x = 9,703,700.86
  5. Step 5: Solve for x
    x = 9,703,700.86/3,452.60
  6. Step 6: Final answer
    x = 2,810.55

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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.