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Finding the Fourth Proportional to 7,049.42, 10,577.91 and 3,349.34

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Solution

The fourth proportional to 7,049.42, 10,577.91 and 3,349.34 is: 5,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.42 : 10,577.91 = 3,349.34 : x
  2. Step 2: Convert to fraction form
    7,049.42/10,577.91 = 3,349.34/x
  3. Step 3: Cross multiply
    7,049.42x = 10,577.91 × 3,349.34
  4. Step 4: Simplify right side
    7,049.42x = 35,429,017.08
  5. Step 5: Solve for x
    x = 35,429,017.08/7,049.42
  6. Step 6: Final answer
    x = 5,025.81

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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.