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Finding the Fourth Proportional to 5,868.50, 8,796.81 and 3,678.76

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Solution

The fourth proportional to 5,868.50, 8,796.81 and 3,678.76 is: 5,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.50 : 8,796.81 = 3,678.76 : x
  2. Step 2: Convert to fraction form
    5,868.50/8,796.81 = 3,678.76/x
  3. Step 3: Cross multiply
    5,868.50x = 8,796.81 × 3,678.76
  4. Step 4: Simplify right side
    5,868.50x = 32,361,330.76
  5. Step 5: Solve for x
    x = 32,361,330.76/5,868.50
  6. Step 6: Final answer
    x = 5,514.42

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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.