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Finding the Fourth Proportional to 3,394.97, 5,088.96 and 1,421.76

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Solution

The fourth proportional to 3,394.97, 5,088.96 and 1,421.76 is: 2,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.97 : 5,088.96 = 1,421.76 : x
  2. Step 2: Convert to fraction form
    3,394.97/5,088.96 = 1,421.76/x
  3. Step 3: Cross multiply
    3,394.97x = 5,088.96 × 1,421.76
  4. Step 4: Simplify right side
    3,394.97x = 7,235,279.77
  5. Step 5: Solve for x
    x = 7,235,279.77/3,394.97
  6. Step 6: Final answer
    x = 2,131.18

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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.