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Finding the Fourth Proportional to 5,675.16, 7,831.74 and 3,157.44

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Solution

The fourth proportional to 5,675.16, 7,831.74 and 3,157.44 is: 4,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.16 : 7,831.74 = 3,157.44 : x
  2. Step 2: Convert to fraction form
    5,675.16/7,831.74 = 3,157.44/x
  3. Step 3: Cross multiply
    5,675.16x = 7,831.74 × 3,157.44
  4. Step 4: Simplify right side
    5,675.16x = 24,728,249.15
  5. Step 5: Solve for x
    x = 24,728,249.15/5,675.16
  6. Step 6: Final answer
    x = 4,357.28

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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.