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Finding the Fourth Proportional to 3,394.35, 5,088.96 and 1,728.72

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Solution

The fourth proportional to 3,394.35, 5,088.96 and 1,728.72 is: 2,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.35 : 5,088.96 = 1,728.72 : x
  2. Step 2: Convert to fraction form
    3,394.35/5,088.96 = 1,728.72/x
  3. Step 3: Cross multiply
    3,394.35x = 5,088.96 × 1,728.72
  4. Step 4: Simplify right side
    3,394.35x = 8,797,386.93
  5. Step 5: Solve for x
    x = 8,797,386.93/3,394.35
  6. Step 6: Final answer
    x = 2,591.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.