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Finding the Fourth Proportional to 3,567.42, 5,350.41 and 1,101.57

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Solution

The fourth proportional to 3,567.42, 5,350.41 and 1,101.57 is: 1,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.42 : 5,350.41 = 1,101.57 : x
  2. Step 2: Convert to fraction form
    3,567.42/5,350.41 = 1,101.57/x
  3. Step 3: Cross multiply
    3,567.42x = 5,350.41 × 1,101.57
  4. Step 4: Simplify right side
    3,567.42x = 5,893,851.14
  5. Step 5: Solve for x
    x = 5,893,851.14/3,567.42
  6. Step 6: Final answer
    x = 1,652.13

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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.