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Finding the Fourth Proportional to 4,491.47, 6,737.20 and 1,204.48

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Solution

The fourth proportional to 4,491.47, 6,737.20 and 1,204.48 is: 1,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.47 : 6,737.20 = 1,204.48 : x
  2. Step 2: Convert to fraction form
    4,491.47/6,737.20 = 1,204.48/x
  3. Step 3: Cross multiply
    4,491.47x = 6,737.20 × 1,204.48
  4. Step 4: Simplify right side
    4,491.47x = 8,114,822.66
  5. Step 5: Solve for x
    x = 8,114,822.66/4,491.47
  6. Step 6: Final answer
    x = 1,806.72

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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.