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Finding the Fourth Proportional to 3,571.34, 5,357 and 1,928.66

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Solution

The fourth proportional to 3,571.34, 5,357 and 1,928.66 is: 2,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.34 : 5,357 = 1,928.66 : x
  2. Step 2: Convert to fraction form
    3,571.34/5,357 = 1,928.66/x
  3. Step 3: Cross multiply
    3,571.34x = 5,357 × 1,928.66
  4. Step 4: Simplify right side
    3,571.34x = 10,331,831.62
  5. Step 5: Solve for x
    x = 10,331,831.62/3,571.34
  6. Step 6: Final answer
    x = 2,892.98

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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.