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Finding the Fourth Proportional to 4,362.63, 6,545.69 and 1,589.50

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Solution

The fourth proportional to 4,362.63, 6,545.69 and 1,589.50 is: 2,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.63 : 6,545.69 = 1,589.50 : x
  2. Step 2: Convert to fraction form
    4,362.63/6,545.69 = 1,589.50/x
  3. Step 3: Cross multiply
    4,362.63x = 6,545.69 × 1,589.50
  4. Step 4: Simplify right side
    4,362.63x = 10,404,361.86
  5. Step 5: Solve for x
    x = 10,404,361.86/4,362.63
  6. Step 6: Final answer
    x = 2,384.88

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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.