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Finding the Fourth Proportional to 5,669.34, 8,498.13 and 4,105.44

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Solution

The fourth proportional to 5,669.34, 8,498.13 and 4,105.44 is: 6,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.34 : 8,498.13 = 4,105.44 : x
  2. Step 2: Convert to fraction form
    5,669.34/8,498.13 = 4,105.44/x
  3. Step 3: Cross multiply
    5,669.34x = 8,498.13 × 4,105.44
  4. Step 4: Simplify right side
    5,669.34x = 34,888,562.83
  5. Step 5: Solve for x
    x = 34,888,562.83/5,669.34
  6. Step 6: Final answer
    x = 6,153.90

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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.