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Finding the Fourth Proportional to 3,429.68, 4,742.16 and 3,272

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Solution

The fourth proportional to 3,429.68, 4,742.16 and 3,272 is: 4,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.68 : 4,742.16 = 3,272 : x
  2. Step 2: Convert to fraction form
    3,429.68/4,742.16 = 3,272/x
  3. Step 3: Cross multiply
    3,429.68x = 4,742.16 × 3,272
  4. Step 4: Simplify right side
    3,429.68x = 15,516,347.52
  5. Step 5: Solve for x
    x = 15,516,347.52/3,429.68
  6. Step 6: Final answer
    x = 4,524.14

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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.