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Finding the Fourth Proportional to 5,329.49, 8,002.44 and 4,749.94

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Solution

The fourth proportional to 5,329.49, 8,002.44 and 4,749.94 is: 7,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.49 : 8,002.44 = 4,749.94 : x
  2. Step 2: Convert to fraction form
    5,329.49/8,002.44 = 4,749.94/x
  3. Step 3: Cross multiply
    5,329.49x = 8,002.44 × 4,749.94
  4. Step 4: Simplify right side
    5,329.49x = 38,011,046.09
  5. Step 5: Solve for x
    x = 38,011,046.09/5,329.49
  6. Step 6: Final answer
    x = 7,132.21

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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.