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Finding the Fourth Proportional to 5,417.82, 8,129.31 and 3,754.51

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Solution

The fourth proportional to 5,417.82, 8,129.31 and 3,754.51 is: 5,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.82 : 8,129.31 = 3,754.51 : x
  2. Step 2: Convert to fraction form
    5,417.82/8,129.31 = 3,754.51/x
  3. Step 3: Cross multiply
    5,417.82x = 8,129.31 × 3,754.51
  4. Step 4: Simplify right side
    5,417.82x = 30,521,535.04
  5. Step 5: Solve for x
    x = 30,521,535.04/5,417.82
  6. Step 6: Final answer
    x = 5,633.55

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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.