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Finding the Fourth Proportional to 4,097.56, 5,653.92 and 2,328.52

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Solution

The fourth proportional to 4,097.56, 5,653.92 and 2,328.52 is: 3,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.56 : 5,653.92 = 2,328.52 : x
  2. Step 2: Convert to fraction form
    4,097.56/5,653.92 = 2,328.52/x
  3. Step 3: Cross multiply
    4,097.56x = 5,653.92 × 2,328.52
  4. Step 4: Simplify right side
    4,097.56x = 13,165,265.80
  5. Step 5: Solve for x
    x = 13,165,265.80/4,097.56
  6. Step 6: Final answer
    x = 3,212.95

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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.