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Finding the Fourth Proportional to 5,632.37, 7,772.59 and 3,114.42

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Solution

The fourth proportional to 5,632.37, 7,772.59 and 3,114.42 is: 4,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.37 : 7,772.59 = 3,114.42 : x
  2. Step 2: Convert to fraction form
    5,632.37/7,772.59 = 3,114.42/x
  3. Step 3: Cross multiply
    5,632.37x = 7,772.59 × 3,114.42
  4. Step 4: Simplify right side
    5,632.37x = 24,207,126.01
  5. Step 5: Solve for x
    x = 24,207,126.01/5,632.37
  6. Step 6: Final answer
    x = 4,297.86

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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.