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Finding the Fourth Proportional to 3,571.94, 5,357.84 and 1,931.70

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Solution

The fourth proportional to 3,571.94, 5,357.84 and 1,931.70 is: 2,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.94 : 5,357.84 = 1,931.70 : x
  2. Step 2: Convert to fraction form
    3,571.94/5,357.84 = 1,931.70/x
  3. Step 3: Cross multiply
    3,571.94x = 5,357.84 × 1,931.70
  4. Step 4: Simplify right side
    3,571.94x = 10,349,739.53
  5. Step 5: Solve for x
    x = 10,349,739.53/3,571.94
  6. Step 6: Final answer
    x = 2,897.51

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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.