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Finding the Fourth Proportional to 7,049.34, 10,578.60 and 3,355.74

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Solution

The fourth proportional to 7,049.34, 10,578.60 and 3,355.74 is: 5,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.34 : 10,578.60 = 3,355.74 : x
  2. Step 2: Convert to fraction form
    7,049.34/10,578.60 = 3,355.74/x
  3. Step 3: Cross multiply
    7,049.34x = 10,578.60 × 3,355.74
  4. Step 4: Simplify right side
    7,049.34x = 35,499,031.16
  5. Step 5: Solve for x
    x = 35,499,031.16/7,049.34
  6. Step 6: Final answer
    x = 5,035.80

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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.