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Finding the Fourth Proportional to 5,684.78, 7,844.95 and 3,293.87

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Solution

The fourth proportional to 5,684.78, 7,844.95 and 3,293.87 is: 4,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.78 : 7,844.95 = 3,293.87 : x
  2. Step 2: Convert to fraction form
    5,684.78/7,844.95 = 3,293.87/x
  3. Step 3: Cross multiply
    5,684.78x = 7,844.95 × 3,293.87
  4. Step 4: Simplify right side
    5,684.78x = 25,840,210.35
  5. Step 5: Solve for x
    x = 25,840,210.35/5,684.78
  6. Step 6: Final answer
    x = 4,545.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.