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Finding the Fourth Proportional to 4,191.77, 6,284.00 and 1,724.87

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Solution

The fourth proportional to 4,191.77, 6,284.00 and 1,724.87 is: 2,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.77 : 6,284.00 = 1,724.87 : x
  2. Step 2: Convert to fraction form
    4,191.77/6,284.00 = 1,724.87/x
  3. Step 3: Cross multiply
    4,191.77x = 6,284.00 × 1,724.87
  4. Step 4: Simplify right side
    4,191.77x = 10,839,103.10
  5. Step 5: Solve for x
    x = 10,839,103.10/4,191.77
  6. Step 6: Final answer
    x = 2,585.80

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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.