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Finding the Fourth Proportional to 4,823.62, 7,218.99 and 4,044.50

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Solution

The fourth proportional to 4,823.62, 7,218.99 and 4,044.50 is: 6,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.62 : 7,218.99 = 4,044.50 : x
  2. Step 2: Convert to fraction form
    4,823.62/7,218.99 = 4,044.50/x
  3. Step 3: Cross multiply
    4,823.62x = 7,218.99 × 4,044.50
  4. Step 4: Simplify right side
    4,823.62x = 29,197,196.03
  5. Step 5: Solve for x
    x = 29,197,196.03/4,823.62
  6. Step 6: Final answer
    x = 6,052.97

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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.