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Finding the Fourth Proportional to 5,216.24, 7,812 and 4,528.56

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Solution

The fourth proportional to 5,216.24, 7,812 and 4,528.56 is: 6,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.24 : 7,812 = 4,528.56 : x
  2. Step 2: Convert to fraction form
    5,216.24/7,812 = 4,528.56/x
  3. Step 3: Cross multiply
    5,216.24x = 7,812 × 4,528.56
  4. Step 4: Simplify right side
    5,216.24x = 35,377,110.72
  5. Step 5: Solve for x
    x = 35,377,110.72/5,216.24
  6. Step 6: Final answer
    x = 6,782.11

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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.