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Finding the Fourth Proportional to 4,655.88, 6,974.51 and 2,801.39

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Solution

The fourth proportional to 4,655.88, 6,974.51 and 2,801.39 is: 4,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.88 : 6,974.51 = 2,801.39 : x
  2. Step 2: Convert to fraction form
    4,655.88/6,974.51 = 2,801.39/x
  3. Step 3: Cross multiply
    4,655.88x = 6,974.51 × 2,801.39
  4. Step 4: Simplify right side
    4,655.88x = 19,538,273.69
  5. Step 5: Solve for x
    x = 19,538,273.69/4,655.88
  6. Step 6: Final answer
    x = 4,196.47

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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.