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Finding the Fourth Proportional to 3,428.96, 4,733.04 and 2,170.40

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Solution

The fourth proportional to 3,428.96, 4,733.04 and 2,170.40 is: 2,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.96 : 4,733.04 = 2,170.40 : x
  2. Step 2: Convert to fraction form
    3,428.96/4,733.04 = 2,170.40/x
  3. Step 3: Cross multiply
    3,428.96x = 4,733.04 × 2,170.40
  4. Step 4: Simplify right side
    3,428.96x = 10,272,590.02
  5. Step 5: Solve for x
    x = 10,272,590.02/3,428.96
  6. Step 6: Final answer
    x = 2,995.83

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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.