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Finding the Fourth Proportional to 5,100.40, 7,658.34 and 4,849.84

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Solution

The fourth proportional to 5,100.40, 7,658.34 and 4,849.84 is: 7,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.40 : 7,658.34 = 4,849.84 : x
  2. Step 2: Convert to fraction form
    5,100.40/7,658.34 = 4,849.84/x
  3. Step 3: Cross multiply
    5,100.40x = 7,658.34 × 4,849.84
  4. Step 4: Simplify right side
    5,100.40x = 37,141,723.67
  5. Step 5: Solve for x
    x = 37,141,723.67/5,100.40
  6. Step 6: Final answer
    x = 7,282.12

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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.