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Finding the Fourth Proportional to 5,734.13, 8,599.97 and 4,644.68

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Solution

The fourth proportional to 5,734.13, 8,599.97 and 4,644.68 is: 6,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.13 : 8,599.97 = 4,644.68 : x
  2. Step 2: Convert to fraction form
    5,734.13/8,599.97 = 4,644.68/x
  3. Step 3: Cross multiply
    5,734.13x = 8,599.97 × 4,644.68
  4. Step 4: Simplify right side
    5,734.13x = 39,944,077.27
  5. Step 5: Solve for x
    x = 39,944,077.27/5,734.13
  6. Step 6: Final answer
    x = 6,966.03

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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.