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Finding the Fourth Proportional to 4,675.82, 6,452.88 and 2,686.51

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Solution

The fourth proportional to 4,675.82, 6,452.88 and 2,686.51 is: 3,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.82 : 6,452.88 = 2,686.51 : x
  2. Step 2: Convert to fraction form
    4,675.82/6,452.88 = 2,686.51/x
  3. Step 3: Cross multiply
    4,675.82x = 6,452.88 × 2,686.51
  4. Step 4: Simplify right side
    4,675.82x = 17,335,694.38
  5. Step 5: Solve for x
    x = 17,335,694.38/4,675.82
  6. Step 6: Final answer
    x = 3,707.52

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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.