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Finding the Fourth Proportional to 4,894.21, 7,324.30 and 4,006.45

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Solution

The fourth proportional to 4,894.21, 7,324.30 and 4,006.45 is: 5,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.21 : 7,324.30 = 4,006.45 : x
  2. Step 2: Convert to fraction form
    4,894.21/7,324.30 = 4,006.45/x
  3. Step 3: Cross multiply
    4,894.21x = 7,324.30 × 4,006.45
  4. Step 4: Simplify right side
    4,894.21x = 29,344,441.74
  5. Step 5: Solve for x
    x = 29,344,441.74/4,894.21
  6. Step 6: Final answer
    x = 5,995.75

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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.