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Finding the Fourth Proportional to 5,879.81, 8,812.76 and 2,586.01

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Solution

The fourth proportional to 5,879.81, 8,812.76 and 2,586.01 is: 3,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.81 : 8,812.76 = 2,586.01 : x
  2. Step 2: Convert to fraction form
    5,879.81/8,812.76 = 2,586.01/x
  3. Step 3: Cross multiply
    5,879.81x = 8,812.76 × 2,586.01
  4. Step 4: Simplify right side
    5,879.81x = 22,789,885.49
  5. Step 5: Solve for x
    x = 22,789,885.49/5,879.81
  6. Step 6: Final answer
    x = 3,875.96

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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.