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Finding the Fourth Proportional to 5,761.50, 8,647.11 and 2,298.75

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Solution

The fourth proportional to 5,761.50, 8,647.11 and 2,298.75 is: 3,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.50 : 8,647.11 = 2,298.75 : x
  2. Step 2: Convert to fraction form
    5,761.50/8,647.11 = 2,298.75/x
  3. Step 3: Cross multiply
    5,761.50x = 8,647.11 × 2,298.75
  4. Step 4: Simplify right side
    5,761.50x = 19,877,544.11
  5. Step 5: Solve for x
    x = 19,877,544.11/5,761.50
  6. Step 6: Final answer
    x = 3,450.06

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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.