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Finding the Fourth Proportional to 4,384.46, 6,545.49 and 4,230.70

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Solution

The fourth proportional to 4,384.46, 6,545.49 and 4,230.70 is: 6,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.46 : 6,545.49 = 4,230.70 : x
  2. Step 2: Convert to fraction form
    4,384.46/6,545.49 = 4,230.70/x
  3. Step 3: Cross multiply
    4,384.46x = 6,545.49 × 4,230.70
  4. Step 4: Simplify right side
    4,384.46x = 27,691,972.31
  5. Step 5: Solve for x
    x = 27,691,972.31/4,384.46
  6. Step 6: Final answer
    x = 6,315.93

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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.