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Finding the Fourth Proportional to 3,429.68, 4,733.25 and 2,869.16

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Solution

The fourth proportional to 3,429.68, 4,733.25 and 2,869.16 is: 3,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.68 : 4,733.25 = 2,869.16 : x
  2. Step 2: Convert to fraction form
    3,429.68/4,733.25 = 2,869.16/x
  3. Step 3: Cross multiply
    3,429.68x = 4,733.25 × 2,869.16
  4. Step 4: Simplify right side
    3,429.68x = 13,580,451.57
  5. Step 5: Solve for x
    x = 13,580,451.57/3,429.68
  6. Step 6: Final answer
    x = 3,959.68

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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.