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Finding the Fourth Proportional to 3,684.24, 5,522.76 and 3,360.24

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Solution

The fourth proportional to 3,684.24, 5,522.76 and 3,360.24 is: 5,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.24 : 5,522.76 = 3,360.24 : x
  2. Step 2: Convert to fraction form
    3,684.24/5,522.76 = 3,360.24/x
  3. Step 3: Cross multiply
    3,684.24x = 5,522.76 × 3,360.24
  4. Step 4: Simplify right side
    3,684.24x = 18,557,799.06
  5. Step 5: Solve for x
    x = 18,557,799.06/3,684.24
  6. Step 6: Final answer
    x = 5,037.08

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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.