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Finding the Fourth Proportional to 4,986.92, 7,475.05 and 2,645.46

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Solution

The fourth proportional to 4,986.92, 7,475.05 and 2,645.46 is: 3,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.92 : 7,475.05 = 2,645.46 : x
  2. Step 2: Convert to fraction form
    4,986.92/7,475.05 = 2,645.46/x
  3. Step 3: Cross multiply
    4,986.92x = 7,475.05 × 2,645.46
  4. Step 4: Simplify right side
    4,986.92x = 19,774,945.77
  5. Step 5: Solve for x
    x = 19,774,945.77/4,986.92
  6. Step 6: Final answer
    x = 3,965.36

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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.