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Finding the Fourth Proportional to 3,267.98, 4,902.53 and 1,077.33

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Solution

The fourth proportional to 3,267.98, 4,902.53 and 1,077.33 is: 1,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.98 : 4,902.53 = 1,077.33 : x
  2. Step 2: Convert to fraction form
    3,267.98/4,902.53 = 1,077.33/x
  3. Step 3: Cross multiply
    3,267.98x = 4,902.53 × 1,077.33
  4. Step 4: Simplify right side
    3,267.98x = 5,281,637.26
  5. Step 5: Solve for x
    x = 5,281,637.26/3,267.98
  6. Step 6: Final answer
    x = 1,616.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.