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Finding the Fourth Proportional to 3,291.53, 4,902.37 and 3,275.63

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Solution

The fourth proportional to 3,291.53, 4,902.37 and 3,275.63 is: 4,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.53 : 4,902.37 = 3,275.63 : x
  2. Step 2: Convert to fraction form
    3,291.53/4,902.37 = 3,275.63/x
  3. Step 3: Cross multiply
    3,291.53x = 4,902.37 × 3,275.63
  4. Step 4: Simplify right side
    3,291.53x = 16,058,335.93
  5. Step 5: Solve for x
    x = 16,058,335.93/3,291.53
  6. Step 6: Final answer
    x = 4,878.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.