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Finding the Fourth Proportional to 5,827.46, 8,724.34 and 5,226.53

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Solution

The fourth proportional to 5,827.46, 8,724.34 and 5,226.53 is: 7,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.46 : 8,724.34 = 5,226.53 : x
  2. Step 2: Convert to fraction form
    5,827.46/8,724.34 = 5,226.53/x
  3. Step 3: Cross multiply
    5,827.46x = 8,724.34 × 5,226.53
  4. Step 4: Simplify right side
    5,827.46x = 45,597,987.65
  5. Step 5: Solve for x
    x = 45,597,987.65/5,827.46
  6. Step 6: Final answer
    x = 7,824.68

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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.