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Finding the Fourth Proportional to 4,965.48, 6,852.48 and 2,727.50

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Solution

The fourth proportional to 4,965.48, 6,852.48 and 2,727.50 is: 3,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.48 : 6,852.48 = 2,727.50 : x
  2. Step 2: Convert to fraction form
    4,965.48/6,852.48 = 2,727.50/x
  3. Step 3: Cross multiply
    4,965.48x = 6,852.48 × 2,727.50
  4. Step 4: Simplify right side
    4,965.48x = 18,690,139.20
  5. Step 5: Solve for x
    x = 18,690,139.20/4,965.48
  6. Step 6: Final answer
    x = 3,764.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.