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Finding the Fourth Proportional to 4,822.75, 6,655.80 and 3,053.71

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Solution

The fourth proportional to 4,822.75, 6,655.80 and 3,053.71 is: 4,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.75 : 6,655.80 = 3,053.71 : x
  2. Step 2: Convert to fraction form
    4,822.75/6,655.80 = 3,053.71/x
  3. Step 3: Cross multiply
    4,822.75x = 6,655.80 × 3,053.71
  4. Step 4: Simplify right side
    4,822.75x = 20,324,883.02
  5. Step 5: Solve for x
    x = 20,324,883.02/4,822.75
  6. Step 6: Final answer
    x = 4,214.38

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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.