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Finding the Fourth Proportional to 5,105.51, 7,642.34 and 3,932.48

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Solution

The fourth proportional to 5,105.51, 7,642.34 and 3,932.48 is: 5,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.51 : 7,642.34 = 3,932.48 : x
  2. Step 2: Convert to fraction form
    5,105.51/7,642.34 = 3,932.48/x
  3. Step 3: Cross multiply
    5,105.51x = 7,642.34 × 3,932.48
  4. Step 4: Simplify right side
    5,105.51x = 30,053,320.82
  5. Step 5: Solve for x
    x = 30,053,320.82/5,105.51
  6. Step 6: Final answer
    x = 5,886.45

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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.