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Finding the Fourth Proportional to 3,567.80, 5,352.21 and 1,102.83

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Solution

The fourth proportional to 3,567.80, 5,352.21 and 1,102.83 is: 1,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.80 : 5,352.21 = 1,102.83 : x
  2. Step 2: Convert to fraction form
    3,567.80/5,352.21 = 1,102.83/x
  3. Step 3: Cross multiply
    3,567.80x = 5,352.21 × 1,102.83
  4. Step 4: Simplify right side
    3,567.80x = 5,902,572.24
  5. Step 5: Solve for x
    x = 5,902,572.24/3,567.80
  6. Step 6: Final answer
    x = 1,654.40

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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.