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Finding the Fourth Proportional to 5,810.70, 8,709.80 and 2,687.06

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Solution

The fourth proportional to 5,810.70, 8,709.80 and 2,687.06 is: 4,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.70 : 8,709.80 = 2,687.06 : x
  2. Step 2: Convert to fraction form
    5,810.70/8,709.80 = 2,687.06/x
  3. Step 3: Cross multiply
    5,810.70x = 8,709.80 × 2,687.06
  4. Step 4: Simplify right side
    5,810.70x = 23,403,755.19
  5. Step 5: Solve for x
    x = 23,403,755.19/5,810.70
  6. Step 6: Final answer
    x = 4,027.70

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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.