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Finding the Fourth Proportional to 5,975.88, 8,965.02 and 1,816.14

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Solution

The fourth proportional to 5,975.88, 8,965.02 and 1,816.14 is: 2,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.88 : 8,965.02 = 1,816.14 : x
  2. Step 2: Convert to fraction form
    5,975.88/8,965.02 = 1,816.14/x
  3. Step 3: Cross multiply
    5,975.88x = 8,965.02 × 1,816.14
  4. Step 4: Simplify right side
    5,975.88x = 16,281,731.42
  5. Step 5: Solve for x
    x = 16,281,731.42/5,975.88
  6. Step 6: Final answer
    x = 2,724.57

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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.