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Finding the Fourth Proportional to 3,655.19, 5,044.19 and 2,083.38

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Solution

The fourth proportional to 3,655.19, 5,044.19 and 2,083.38 is: 2,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.19 : 5,044.19 = 2,083.38 : x
  2. Step 2: Convert to fraction form
    3,655.19/5,044.19 = 2,083.38/x
  3. Step 3: Cross multiply
    3,655.19x = 5,044.19 × 2,083.38
  4. Step 4: Simplify right side
    3,655.19x = 10,508,964.56
  5. Step 5: Solve for x
    x = 10,508,964.56/3,655.19
  6. Step 6: Final answer
    x = 2,875.08

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Why These Related Problems?

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