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Finding the Fourth Proportional to 5,872.66, 8,795.04 and 4,825.36

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Solution

The fourth proportional to 5,872.66, 8,795.04 and 4,825.36 is: 7,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.66 : 8,795.04 = 4,825.36 : x
  2. Step 2: Convert to fraction form
    5,872.66/8,795.04 = 4,825.36/x
  3. Step 3: Cross multiply
    5,872.66x = 8,795.04 × 4,825.36
  4. Step 4: Simplify right side
    5,872.66x = 42,439,234.21
  5. Step 5: Solve for x
    x = 42,439,234.21/5,872.66
  6. Step 6: Final answer
    x = 7,226.58

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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.