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Finding the Fourth Proportional to 3,708.51, 5,117.89 and 2,029.82

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Solution

The fourth proportional to 3,708.51, 5,117.89 and 2,029.82 is: 2,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.51 : 5,117.89 = 2,029.82 : x
  2. Step 2: Convert to fraction form
    3,708.51/5,117.89 = 2,029.82/x
  3. Step 3: Cross multiply
    3,708.51x = 5,117.89 × 2,029.82
  4. Step 4: Simplify right side
    3,708.51x = 10,388,395.48
  5. Step 5: Solve for x
    x = 10,388,395.48/3,708.51
  6. Step 6: Final answer
    x = 2,801.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.