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Finding the Fourth Proportional to 5,614.82, 7,743.90 and 4,941.18

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Solution

The fourth proportional to 5,614.82, 7,743.90 and 4,941.18 is: 6,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.82 : 7,743.90 = 4,941.18 : x
  2. Step 2: Convert to fraction form
    5,614.82/7,743.90 = 4,941.18/x
  3. Step 3: Cross multiply
    5,614.82x = 7,743.90 × 4,941.18
  4. Step 4: Simplify right side
    5,614.82x = 38,264,003.80
  5. Step 5: Solve for x
    x = 38,264,003.80/5,614.82
  6. Step 6: Final answer
    x = 6,814.82

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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.