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Finding the Fourth Proportional to 3,232.97, 4,484.16 and 3,101.75

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Solution

The fourth proportional to 3,232.97, 4,484.16 and 3,101.75 is: 4,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.97 : 4,484.16 = 3,101.75 : x
  2. Step 2: Convert to fraction form
    3,232.97/4,484.16 = 3,101.75/x
  3. Step 3: Cross multiply
    3,232.97x = 4,484.16 × 3,101.75
  4. Step 4: Simplify right side
    3,232.97x = 13,908,743.28
  5. Step 5: Solve for x
    x = 13,908,743.28/3,232.97
  6. Step 6: Final answer
    x = 4,302.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.