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Finding the Fourth Proportional to 5,184.37, 7,781.23 and 3,514.46

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Solution

The fourth proportional to 5,184.37, 7,781.23 and 3,514.46 is: 5,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.37 : 7,781.23 = 3,514.46 : x
  2. Step 2: Convert to fraction form
    5,184.37/7,781.23 = 3,514.46/x
  3. Step 3: Cross multiply
    5,184.37x = 7,781.23 × 3,514.46
  4. Step 4: Simplify right side
    5,184.37x = 27,346,787.07
  5. Step 5: Solve for x
    x = 27,346,787.07/5,184.37
  6. Step 6: Final answer
    x = 5,274.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.