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Finding the Fourth Proportional to 5,704.72, 7,870.32 and 4,216.24

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Solution

The fourth proportional to 5,704.72, 7,870.32 and 4,216.24 is: 5,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.72 : 7,870.32 = 4,216.24 : x
  2. Step 2: Convert to fraction form
    5,704.72/7,870.32 = 4,216.24/x
  3. Step 3: Cross multiply
    5,704.72x = 7,870.32 × 4,216.24
  4. Step 4: Simplify right side
    5,704.72x = 33,183,158.00
  5. Step 5: Solve for x
    x = 33,183,158.00/5,704.72
  6. Step 6: Final answer
    x = 5,816.79

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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.