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Finding the Fourth Proportional to 5,675.27, 7,831.56 and 3,156.89

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Solution

The fourth proportional to 5,675.27, 7,831.56 and 3,156.89 is: 4,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.27 : 7,831.56 = 3,156.89 : x
  2. Step 2: Convert to fraction form
    5,675.27/7,831.56 = 3,156.89/x
  3. Step 3: Cross multiply
    5,675.27x = 7,831.56 × 3,156.89
  4. Step 4: Simplify right side
    5,675.27x = 24,723,393.03
  5. Step 5: Solve for x
    x = 24,723,393.03/5,675.27
  6. Step 6: Final answer
    x = 4,356.34

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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.