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Finding the Fourth Proportional to 4,098.38, 5,649.02 and 2,903.77

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Solution

The fourth proportional to 4,098.38, 5,649.02 and 2,903.77 is: 4,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.38 : 5,649.02 = 2,903.77 : x
  2. Step 2: Convert to fraction form
    4,098.38/5,649.02 = 2,903.77/x
  3. Step 3: Cross multiply
    4,098.38x = 5,649.02 × 2,903.77
  4. Step 4: Simplify right side
    4,098.38x = 16,403,426.56
  5. Step 5: Solve for x
    x = 16,403,426.56/4,098.38
  6. Step 6: Final answer
    x = 4,002.42

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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.