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Finding the Fourth Proportional to 3,452.04, 4,765.42 and 2,035.28

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Solution

The fourth proportional to 3,452.04, 4,765.42 and 2,035.28 is: 2,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.04 : 4,765.42 = 2,035.28 : x
  2. Step 2: Convert to fraction form
    3,452.04/4,765.42 = 2,035.28/x
  3. Step 3: Cross multiply
    3,452.04x = 4,765.42 × 2,035.28
  4. Step 4: Simplify right side
    3,452.04x = 9,698,964.02
  5. Step 5: Solve for x
    x = 9,698,964.02/3,452.04
  6. Step 6: Final answer
    x = 2,809.63

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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.