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Finding the Fourth Proportional to 4,384.47, 6,545.49 and 4,230.69

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Solution

The fourth proportional to 4,384.47, 6,545.49 and 4,230.69 is: 6,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.47 : 6,545.49 = 4,230.69 : x
  2. Step 2: Convert to fraction form
    4,384.47/6,545.49 = 4,230.69/x
  3. Step 3: Cross multiply
    4,384.47x = 6,545.49 × 4,230.69
  4. Step 4: Simplify right side
    4,384.47x = 27,691,939.09
  5. Step 5: Solve for x
    x = 27,691,939.09/4,384.47
  6. Step 6: Final answer
    x = 6,315.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.