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Finding the Fourth Proportional to 5,926.62, 8,872.65 and 4,682.46

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Solution

The fourth proportional to 5,926.62, 8,872.65 and 4,682.46 is: 7,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.62 : 8,872.65 = 4,682.46 : x
  2. Step 2: Convert to fraction form
    5,926.62/8,872.65 = 4,682.46/x
  3. Step 3: Cross multiply
    5,926.62x = 8,872.65 × 4,682.46
  4. Step 4: Simplify right side
    5,926.62x = 41,545,828.72
  5. Step 5: Solve for x
    x = 41,545,828.72/5,926.62
  6. Step 6: Final answer
    x = 7,010.04

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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.