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Finding the Fourth Proportional to 5,237.84, 7,851.12 and 2,462.16

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Solution

The fourth proportional to 5,237.84, 7,851.12 and 2,462.16 is: 3,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.84 : 7,851.12 = 2,462.16 : x
  2. Step 2: Convert to fraction form
    5,237.84/7,851.12 = 2,462.16/x
  3. Step 3: Cross multiply
    5,237.84x = 7,851.12 × 2,462.16
  4. Step 4: Simplify right side
    5,237.84x = 19,330,713.62
  5. Step 5: Solve for x
    x = 19,330,713.62/5,237.84
  6. Step 6: Final answer
    x = 3,690.59

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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.