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Finding the Fourth Proportional to 4,697.27, 6,467.48 and 3,987.64

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Solution

The fourth proportional to 4,697.27, 6,467.48 and 3,987.64 is: 5,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.27 : 6,467.48 = 3,987.64 : x
  2. Step 2: Convert to fraction form
    4,697.27/6,467.48 = 3,987.64/x
  3. Step 3: Cross multiply
    4,697.27x = 6,467.48 × 3,987.64
  4. Step 4: Simplify right side
    4,697.27x = 25,789,962.01
  5. Step 5: Solve for x
    x = 25,789,962.01/4,697.27
  6. Step 6: Final answer
    x = 5,490.42

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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.