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Finding the Fourth Proportional to 5,269.78, 7,904.04 and 1,374.49

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Solution

The fourth proportional to 5,269.78, 7,904.04 and 1,374.49 is: 2,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.78 : 7,904.04 = 1,374.49 : x
  2. Step 2: Convert to fraction form
    5,269.78/7,904.04 = 1,374.49/x
  3. Step 3: Cross multiply
    5,269.78x = 7,904.04 × 1,374.49
  4. Step 4: Simplify right side
    5,269.78x = 10,864,023.94
  5. Step 5: Solve for x
    x = 10,864,023.94/5,269.78
  6. Step 6: Final answer
    x = 2,061.57

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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.