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Finding the Fourth Proportional to 3,374.07, 5,061.40 and 908.83

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Solution

The fourth proportional to 3,374.07, 5,061.40 and 908.83 is: 1,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.07 : 5,061.40 = 908.83 : x
  2. Step 2: Convert to fraction form
    3,374.07/5,061.40 = 908.83/x
  3. Step 3: Cross multiply
    3,374.07x = 5,061.40 × 908.83
  4. Step 4: Simplify right side
    3,374.07x = 4,599,952.16
  5. Step 5: Solve for x
    x = 4,599,952.16/3,374.07
  6. Step 6: Final answer
    x = 1,363.33

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Why These Related Problems?

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