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Finding the Fourth Proportional to 5,621.46, 7,752.65 and 3,831.82

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Solution

The fourth proportional to 5,621.46, 7,752.65 and 3,831.82 is: 5,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.46 : 7,752.65 = 3,831.82 : x
  2. Step 2: Convert to fraction form
    5,621.46/7,752.65 = 3,831.82/x
  3. Step 3: Cross multiply
    5,621.46x = 7,752.65 × 3,831.82
  4. Step 4: Simplify right side
    5,621.46x = 29,706,759.32
  5. Step 5: Solve for x
    x = 29,706,759.32/5,621.46
  6. Step 6: Final answer
    x = 5,284.53

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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.