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Finding the Fourth Proportional to 5,226.72, 7,840.60 and 1,528.88

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Solution

The fourth proportional to 5,226.72, 7,840.60 and 1,528.88 is: 2,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.72 : 7,840.60 = 1,528.88 : x
  2. Step 2: Convert to fraction form
    5,226.72/7,840.60 = 1,528.88/x
  3. Step 3: Cross multiply
    5,226.72x = 7,840.60 × 1,528.88
  4. Step 4: Simplify right side
    5,226.72x = 11,987,336.53
  5. Step 5: Solve for x
    x = 11,987,336.53/5,226.72
  6. Step 6: Final answer
    x = 2,293.47

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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.