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Finding the Fourth Proportional to 3,567.43, 5,349.39 and 2,106.19

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Solution

The fourth proportional to 3,567.43, 5,349.39 and 2,106.19 is: 3,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.43 : 5,349.39 = 2,106.19 : x
  2. Step 2: Convert to fraction form
    3,567.43/5,349.39 = 2,106.19/x
  3. Step 3: Cross multiply
    3,567.43x = 5,349.39 × 2,106.19
  4. Step 4: Simplify right side
    3,567.43x = 11,266,831.72
  5. Step 5: Solve for x
    x = 11,266,831.72/3,567.43
  6. Step 6: Final answer
    x = 3,158.25

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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.