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Finding the Fourth Proportional to 3,418.97, 5,129.80 and 1,686.38

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Solution

The fourth proportional to 3,418.97, 5,129.80 and 1,686.38 is: 2,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.97 : 5,129.80 = 1,686.38 : x
  2. Step 2: Convert to fraction form
    3,418.97/5,129.80 = 1,686.38/x
  3. Step 3: Cross multiply
    3,418.97x = 5,129.80 × 1,686.38
  4. Step 4: Simplify right side
    3,418.97x = 8,650,762.26
  5. Step 5: Solve for x
    x = 8,650,762.26/3,418.97
  6. Step 6: Final answer
    x = 2,530.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.