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Finding the Fourth Proportional to 5,467.36, 7,543.08 and 3,077

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Solution

The fourth proportional to 5,467.36, 7,543.08 and 3,077 is: 4,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.36 : 7,543.08 = 3,077 : x
  2. Step 2: Convert to fraction form
    5,467.36/7,543.08 = 3,077/x
  3. Step 3: Cross multiply
    5,467.36x = 7,543.08 × 3,077
  4. Step 4: Simplify right side
    5,467.36x = 23,210,057.16
  5. Step 5: Solve for x
    x = 23,210,057.16/5,467.36
  6. Step 6: Final answer
    x = 4,245.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.