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Finding the Fourth Proportional to 3,496.68, 4,826.94 and 2,657.52

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Solution

The fourth proportional to 3,496.68, 4,826.94 and 2,657.52 is: 3,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.68 : 4,826.94 = 2,657.52 : x
  2. Step 2: Convert to fraction form
    3,496.68/4,826.94 = 2,657.52/x
  3. Step 3: Cross multiply
    3,496.68x = 4,826.94 × 2,657.52
  4. Step 4: Simplify right side
    3,496.68x = 12,827,689.59
  5. Step 5: Solve for x
    x = 12,827,689.59/3,496.68
  6. Step 6: Final answer
    x = 3,668.53

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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.