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Finding the Fourth Proportional to 4,687.74, 7,032.60 and 1,765.98

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Solution

The fourth proportional to 4,687.74, 7,032.60 and 1,765.98 is: 2,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.74 : 7,032.60 = 1,765.98 : x
  2. Step 2: Convert to fraction form
    4,687.74/7,032.60 = 1,765.98/x
  3. Step 3: Cross multiply
    4,687.74x = 7,032.60 × 1,765.98
  4. Step 4: Simplify right side
    4,687.74x = 12,419,430.95
  5. Step 5: Solve for x
    x = 12,419,430.95/4,687.74
  6. Step 6: Final answer
    x = 2,649.34

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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.