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Finding the Fourth Proportional to 2,991.90, 4,125.06 and 2,571.42

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Solution

The fourth proportional to 2,991.90, 4,125.06 and 2,571.42 is: 3,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.90 : 4,125.06 = 2,571.42 : x
  2. Step 2: Convert to fraction form
    2,991.90/4,125.06 = 2,571.42/x
  3. Step 3: Cross multiply
    2,991.90x = 4,125.06 × 2,571.42
  4. Step 4: Simplify right side
    2,991.90x = 10,607,261.79
  5. Step 5: Solve for x
    x = 10,607,261.79/2,991.90
  6. Step 6: Final answer
    x = 3,545.33

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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.