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Finding the Fourth Proportional to 5,424.69, 8,125.83 and 4,767.42

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Solution

The fourth proportional to 5,424.69, 8,125.83 and 4,767.42 is: 7,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.69 : 8,125.83 = 4,767.42 : x
  2. Step 2: Convert to fraction form
    5,424.69/8,125.83 = 4,767.42/x
  3. Step 3: Cross multiply
    5,424.69x = 8,125.83 × 4,767.42
  4. Step 4: Simplify right side
    5,424.69x = 38,739,244.46
  5. Step 5: Solve for x
    x = 38,739,244.46/5,424.69
  6. Step 6: Final answer
    x = 7,141.28

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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.