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Finding the Fourth Proportional to 5,381.63, 8,016.95 and 5,218.42

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Solution

The fourth proportional to 5,381.63, 8,016.95 and 5,218.42 is: 7,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.63 : 8,016.95 = 5,218.42 : x
  2. Step 2: Convert to fraction form
    5,381.63/8,016.95 = 5,218.42/x
  3. Step 3: Cross multiply
    5,381.63x = 8,016.95 × 5,218.42
  4. Step 4: Simplify right side
    5,381.63x = 41,835,812.22
  5. Step 5: Solve for x
    x = 41,835,812.22/5,381.63
  6. Step 6: Final answer
    x = 7,773.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.