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Finding the Fourth Proportional to 3,571.29, 5,349.65 and 2,106

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Solution

The fourth proportional to 3,571.29, 5,349.65 and 2,106 is: 3,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.29 : 5,349.65 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,571.29/5,349.65 = 2,106/x
  3. Step 3: Cross multiply
    3,571.29x = 5,349.65 × 2,106
  4. Step 4: Simplify right side
    3,571.29x = 11,266,352.37
  5. Step 5: Solve for x
    x = 11,266,352.37/3,571.29
  6. Step 6: Final answer
    x = 3,154.70

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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.