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Finding the Fourth Proportional to 5,581.78, 7,702.93 and 3,063.84

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Solution

The fourth proportional to 5,581.78, 7,702.93 and 3,063.84 is: 4,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.78 : 7,702.93 = 3,063.84 : x
  2. Step 2: Convert to fraction form
    5,581.78/7,702.93 = 3,063.84/x
  3. Step 3: Cross multiply
    5,581.78x = 7,702.93 × 3,063.84
  4. Step 4: Simplify right side
    5,581.78x = 23,600,545.05
  5. Step 5: Solve for x
    x = 23,600,545.05/5,581.78
  6. Step 6: Final answer
    x = 4,228.14

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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.