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Finding the Fourth Proportional to 3,496.68, 4,822.72 and 2,552.32

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Solution

The fourth proportional to 3,496.68, 4,822.72 and 2,552.32 is: 3,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.68 : 4,822.72 = 2,552.32 : x
  2. Step 2: Convert to fraction form
    3,496.68/4,822.72 = 2,552.32/x
  3. Step 3: Cross multiply
    3,496.68x = 4,822.72 × 2,552.32
  4. Step 4: Simplify right side
    3,496.68x = 12,309,124.71
  5. Step 5: Solve for x
    x = 12,309,124.71/3,496.68
  6. Step 6: Final answer
    x = 3,520.23

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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.