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Finding the Fourth Proportional to 5,871.35, 8,812.01 and 3,100.02

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Solution

The fourth proportional to 5,871.35, 8,812.01 and 3,100.02 is: 4,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.35 : 8,812.01 = 3,100.02 : x
  2. Step 2: Convert to fraction form
    5,871.35/8,812.01 = 3,100.02/x
  3. Step 3: Cross multiply
    5,871.35x = 8,812.01 × 3,100.02
  4. Step 4: Simplify right side
    5,871.35x = 27,317,414.99
  5. Step 5: Solve for x
    x = 27,317,414.99/5,871.35
  6. Step 6: Final answer
    x = 4,652.67

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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.