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Finding the Fourth Proportional to 5,788.75, 8,679.79 and 5,096.81

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Solution

The fourth proportional to 5,788.75, 8,679.79 and 5,096.81 is: 7,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.75 : 8,679.79 = 5,096.81 : x
  2. Step 2: Convert to fraction form
    5,788.75/8,679.79 = 5,096.81/x
  3. Step 3: Cross multiply
    5,788.75x = 8,679.79 × 5,096.81
  4. Step 4: Simplify right side
    5,788.75x = 44,239,240.47
  5. Step 5: Solve for x
    x = 44,239,240.47/5,788.75
  6. Step 6: Final answer
    x = 7,642.28

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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.