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Finding the Fourth Proportional to 4,610.85, 6,916.26 and 1,687.56

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Solution

The fourth proportional to 4,610.85, 6,916.26 and 1,687.56 is: 2,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.85 : 6,916.26 = 1,687.56 : x
  2. Step 2: Convert to fraction form
    4,610.85/6,916.26 = 1,687.56/x
  3. Step 3: Cross multiply
    4,610.85x = 6,916.26 × 1,687.56
  4. Step 4: Simplify right side
    4,610.85x = 11,671,603.73
  5. Step 5: Solve for x
    x = 11,671,603.73/4,610.85
  6. Step 6: Final answer
    x = 2,531.33

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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.