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Finding the Fourth Proportional to 3,567.38, 5,351.06 and 1,102.19

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Solution

The fourth proportional to 3,567.38, 5,351.06 and 1,102.19 is: 1,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.38 : 5,351.06 = 1,102.19 : x
  2. Step 2: Convert to fraction form
    3,567.38/5,351.06 = 1,102.19/x
  3. Step 3: Cross multiply
    3,567.38x = 5,351.06 × 1,102.19
  4. Step 4: Simplify right side
    3,567.38x = 5,897,852.56
  5. Step 5: Solve for x
    x = 5,897,852.56/3,567.38
  6. Step 6: Final answer
    x = 1,653.28

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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.