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Finding the Fourth Proportional to 5,297.94, 7,921.62 and 4,833.21

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Solution

The fourth proportional to 5,297.94, 7,921.62 and 4,833.21 is: 7,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.94 : 7,921.62 = 4,833.21 : x
  2. Step 2: Convert to fraction form
    5,297.94/7,921.62 = 4,833.21/x
  3. Step 3: Cross multiply
    5,297.94x = 7,921.62 × 4,833.21
  4. Step 4: Simplify right side
    5,297.94x = 38,286,853.00
  5. Step 5: Solve for x
    x = 38,286,853.00/5,297.94
  6. Step 6: Final answer
    x = 7,226.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.