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Finding the Fourth Proportional to 3,496.52, 4,824.01 and 2,302.18

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Solution

The fourth proportional to 3,496.52, 4,824.01 and 2,302.18 is: 3,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.52 : 4,824.01 = 2,302.18 : x
  2. Step 2: Convert to fraction form
    3,496.52/4,824.01 = 2,302.18/x
  3. Step 3: Cross multiply
    3,496.52x = 4,824.01 × 2,302.18
  4. Step 4: Simplify right side
    3,496.52x = 11,105,721.53
  5. Step 5: Solve for x
    x = 11,105,721.53/3,496.52
  6. Step 6: Final answer
    x = 3,176.22

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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.