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Finding the Fourth Proportional to 4,467.72, 6,662.28 and 4,156.08

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Solution

The fourth proportional to 4,467.72, 6,662.28 and 4,156.08 is: 6,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.72 : 6,662.28 = 4,156.08 : x
  2. Step 2: Convert to fraction form
    4,467.72/6,662.28 = 4,156.08/x
  3. Step 3: Cross multiply
    4,467.72x = 6,662.28 × 4,156.08
  4. Step 4: Simplify right side
    4,467.72x = 27,688,968.66
  5. Step 5: Solve for x
    x = 27,688,968.66/4,467.72
  6. Step 6: Final answer
    x = 6,197.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.