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Finding the Fourth Proportional to 4,686.48, 6,467.43 and 2,697.42

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Solution

The fourth proportional to 4,686.48, 6,467.43 and 2,697.42 is: 3,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.48 : 6,467.43 = 2,697.42 : x
  2. Step 2: Convert to fraction form
    4,686.48/6,467.43 = 2,697.42/x
  3. Step 3: Cross multiply
    4,686.48x = 6,467.43 × 2,697.42
  4. Step 4: Simplify right side
    4,686.48x = 17,445,375.03
  5. Step 5: Solve for x
    x = 17,445,375.03/4,686.48
  6. Step 6: Final answer
    x = 3,722.49

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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.