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Finding the Fourth Proportional to 4,870.28, 6,706.83 and 4,231.92

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Solution

The fourth proportional to 4,870.28, 6,706.83 and 4,231.92 is: 5,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.28 : 6,706.83 = 4,231.92 : x
  2. Step 2: Convert to fraction form
    4,870.28/6,706.83 = 4,231.92/x
  3. Step 3: Cross multiply
    4,870.28x = 6,706.83 × 4,231.92
  4. Step 4: Simplify right side
    4,870.28x = 28,382,768.01
  5. Step 5: Solve for x
    x = 28,382,768.01/4,870.28
  6. Step 6: Final answer
    x = 5,827.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.