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Finding the Fourth Proportional to 4,097.24, 5,652.84 and 2,328.20

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Solution

The fourth proportional to 4,097.24, 5,652.84 and 2,328.20 is: 3,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.24 : 5,652.84 = 2,328.20 : x
  2. Step 2: Convert to fraction form
    4,097.24/5,652.84 = 2,328.20/x
  3. Step 3: Cross multiply
    4,097.24x = 5,652.84 × 2,328.20
  4. Step 4: Simplify right side
    4,097.24x = 13,160,942.09
  5. Step 5: Solve for x
    x = 13,160,942.09/4,097.24
  6. Step 6: Final answer
    x = 3,212.15

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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.