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Finding the Fourth Proportional to 3,424.47, 5,137.29 and 1,866.03

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Solution

The fourth proportional to 3,424.47, 5,137.29 and 1,866.03 is: 2,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.47 : 5,137.29 = 1,866.03 : x
  2. Step 2: Convert to fraction form
    3,424.47/5,137.29 = 1,866.03/x
  3. Step 3: Cross multiply
    3,424.47x = 5,137.29 × 1,866.03
  4. Step 4: Simplify right side
    3,424.47x = 9,586,337.26
  5. Step 5: Solve for x
    x = 9,586,337.26/3,424.47
  6. Step 6: Final answer
    x = 2,799.36

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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.