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Finding the Fourth Proportional to 5,816.52, 8,724.54 and 1,433.88

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Solution

The fourth proportional to 5,816.52, 8,724.54 and 1,433.88 is: 2,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.52 : 8,724.54 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    5,816.52/8,724.54 = 1,433.88/x
  3. Step 3: Cross multiply
    5,816.52x = 8,724.54 × 1,433.88
  4. Step 4: Simplify right side
    5,816.52x = 12,509,943.42
  5. Step 5: Solve for x
    x = 12,509,943.42/5,816.52
  6. Step 6: Final answer
    x = 2,150.76

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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.