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Finding the Fourth Proportional to 5,764.26, 8,646.72 and 1,816.08

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Solution

The fourth proportional to 5,764.26, 8,646.72 and 1,816.08 is: 2,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.26 : 8,646.72 = 1,816.08 : x
  2. Step 2: Convert to fraction form
    5,764.26/8,646.72 = 1,816.08/x
  3. Step 3: Cross multiply
    5,764.26x = 8,646.72 × 1,816.08
  4. Step 4: Simplify right side
    5,764.26x = 15,703,135.26
  5. Step 5: Solve for x
    x = 15,703,135.26/5,764.26
  6. Step 6: Final answer
    x = 2,724.22

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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.