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Finding the Fourth Proportional to 7,244.71, 10,849.24 and 3,534.98

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Solution

The fourth proportional to 7,244.71, 10,849.24 and 3,534.98 is: 5,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.71 : 10,849.24 = 3,534.98 : x
  2. Step 2: Convert to fraction form
    7,244.71/10,849.24 = 3,534.98/x
  3. Step 3: Cross multiply
    7,244.71x = 10,849.24 × 3,534.98
  4. Step 4: Simplify right side
    7,244.71x = 38,351,796.59
  5. Step 5: Solve for x
    x = 38,351,796.59/7,244.71
  6. Step 6: Final answer
    x = 5,293.77

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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.