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Finding the Fourth Proportional to 4,849.92, 7,277.31 and 3,679.47

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Solution

The fourth proportional to 4,849.92, 7,277.31 and 3,679.47 is: 5,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.92 : 7,277.31 = 3,679.47 : x
  2. Step 2: Convert to fraction form
    4,849.92/7,277.31 = 3,679.47/x
  3. Step 3: Cross multiply
    4,849.92x = 7,277.31 × 3,679.47
  4. Step 4: Simplify right side
    4,849.92x = 26,776,643.83
  5. Step 5: Solve for x
    x = 26,776,643.83/4,849.92
  6. Step 6: Final answer
    x = 5,521.05

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Why These Related Problems?

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