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Finding the Fourth Proportional to 4,637.42, 6,400.09 and 2,648.27

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Solution

The fourth proportional to 4,637.42, 6,400.09 and 2,648.27 is: 3,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.42 : 6,400.09 = 2,648.27 : x
  2. Step 2: Convert to fraction form
    4,637.42/6,400.09 = 2,648.27/x
  3. Step 3: Cross multiply
    4,637.42x = 6,400.09 × 2,648.27
  4. Step 4: Simplify right side
    4,637.42x = 16,949,166.34
  5. Step 5: Solve for x
    x = 16,949,166.34/4,637.42
  6. Step 6: Final answer
    x = 3,654.87

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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.