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Finding the Fourth Proportional to 5,637.44, 8,456.54 and 1,477.55

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Solution

The fourth proportional to 5,637.44, 8,456.54 and 1,477.55 is: 2,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.44 : 8,456.54 = 1,477.55 : x
  2. Step 2: Convert to fraction form
    5,637.44/8,456.54 = 1,477.55/x
  3. Step 3: Cross multiply
    5,637.44x = 8,456.54 × 1,477.55
  4. Step 4: Simplify right side
    5,637.44x = 12,494,974.43
  5. Step 5: Solve for x
    x = 12,494,974.43/5,637.44
  6. Step 6: Final answer
    x = 2,216.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.