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Finding the Fourth Proportional to 3,655.52, 5,044.68 and 2,083.64

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Solution

The fourth proportional to 3,655.52, 5,044.68 and 2,083.64 is: 2,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.52 : 5,044.68 = 2,083.64 : x
  2. Step 2: Convert to fraction form
    3,655.52/5,044.68 = 2,083.64/x
  3. Step 3: Cross multiply
    3,655.52x = 5,044.68 × 2,083.64
  4. Step 4: Simplify right side
    3,655.52x = 10,511,297.04
  5. Step 5: Solve for x
    x = 10,511,297.04/3,655.52
  6. Step 6: Final answer
    x = 2,875.46

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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.