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Finding the Fourth Proportional to 5,870.90, 8,800.22 and 3,100.70

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Solution

The fourth proportional to 5,870.90, 8,800.22 and 3,100.70 is: 4,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.90 : 8,800.22 = 3,100.70 : x
  2. Step 2: Convert to fraction form
    5,870.90/8,800.22 = 3,100.70/x
  3. Step 3: Cross multiply
    5,870.90x = 8,800.22 × 3,100.70
  4. Step 4: Simplify right side
    5,870.90x = 27,286,842.15
  5. Step 5: Solve for x
    x = 27,286,842.15/5,870.90
  6. Step 6: Final answer
    x = 4,647.81

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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.