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Finding the Fourth Proportional to 5,411.76, 8,117.62 and 1,949

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Solution

The fourth proportional to 5,411.76, 8,117.62 and 1,949 is: 2,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.76 : 8,117.62 = 1,949 : x
  2. Step 2: Convert to fraction form
    5,411.76/8,117.62 = 1,949/x
  3. Step 3: Cross multiply
    5,411.76x = 8,117.62 × 1,949
  4. Step 4: Simplify right side
    5,411.76x = 15,821,241.38
  5. Step 5: Solve for x
    x = 15,821,241.38/5,411.76
  6. Step 6: Final answer
    x = 2,923.49

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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.