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Finding the Fourth Proportional to 3,374.84, 5,063.82 and 1,294.14

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Solution

The fourth proportional to 3,374.84, 5,063.82 and 1,294.14 is: 1,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.84 : 5,063.82 = 1,294.14 : x
  2. Step 2: Convert to fraction form
    3,374.84/5,063.82 = 1,294.14/x
  3. Step 3: Cross multiply
    3,374.84x = 5,063.82 × 1,294.14
  4. Step 4: Simplify right side
    3,374.84x = 6,553,292.01
  5. Step 5: Solve for x
    x = 6,553,292.01/3,374.84
  6. Step 6: Final answer
    x = 1,941.81

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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.