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Finding the Fourth Proportional to 5,725.25, 8,589.10 and 1,776.42

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Solution

The fourth proportional to 5,725.25, 8,589.10 and 1,776.42 is: 2,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.25 : 8,589.10 = 1,776.42 : x
  2. Step 2: Convert to fraction form
    5,725.25/8,589.10 = 1,776.42/x
  3. Step 3: Cross multiply
    5,725.25x = 8,589.10 × 1,776.42
  4. Step 4: Simplify right side
    5,725.25x = 15,257,864.02
  5. Step 5: Solve for x
    x = 15,257,864.02/5,725.25
  6. Step 6: Final answer
    x = 2,665.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.