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Finding the Fourth Proportional to 5,886.27, 8,123.12 and 3,649.23

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Solution

The fourth proportional to 5,886.27, 8,123.12 and 3,649.23 is: 5,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.27 : 8,123.12 = 3,649.23 : x
  2. Step 2: Convert to fraction form
    5,886.27/8,123.12 = 3,649.23/x
  3. Step 3: Cross multiply
    5,886.27x = 8,123.12 × 3,649.23
  4. Step 4: Simplify right side
    5,886.27x = 29,643,114.95
  5. Step 5: Solve for x
    x = 29,643,114.95/5,886.27
  6. Step 6: Final answer
    x = 5,035.98

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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.