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Finding the Fourth Proportional to 5,725.66, 8,589.72 and 1,776.83

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Solution

The fourth proportional to 5,725.66, 8,589.72 and 1,776.83 is: 2,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.66 : 8,589.72 = 1,776.83 : x
  2. Step 2: Convert to fraction form
    5,725.66/8,589.72 = 1,776.83/x
  3. Step 3: Cross multiply
    5,725.66x = 8,589.72 × 1,776.83
  4. Step 4: Simplify right side
    5,725.66x = 15,262,472.19
  5. Step 5: Solve for x
    x = 15,262,472.19/5,725.66
  6. Step 6: Final answer
    x = 2,665.63

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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.