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Finding the Fourth Proportional to 3,493.54, 4,821.78 and 2,002.45

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Solution

The fourth proportional to 3,493.54, 4,821.78 and 2,002.45 is: 2,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.54 : 4,821.78 = 2,002.45 : x
  2. Step 2: Convert to fraction form
    3,493.54/4,821.78 = 2,002.45/x
  3. Step 3: Cross multiply
    3,493.54x = 4,821.78 × 2,002.45
  4. Step 4: Simplify right side
    3,493.54x = 9,655,373.36
  5. Step 5: Solve for x
    x = 9,655,373.36/3,493.54
  6. Step 6: Final answer
    x = 2,763.78

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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.