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Finding the Fourth Proportional to 3,567.69, 5,351.76 and 1,102.55

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Solution

The fourth proportional to 3,567.69, 5,351.76 and 1,102.55 is: 1,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.69 : 5,351.76 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    3,567.69/5,351.76 = 1,102.55/x
  3. Step 3: Cross multiply
    3,567.69x = 5,351.76 × 1,102.55
  4. Step 4: Simplify right side
    3,567.69x = 5,900,556.23
  5. Step 5: Solve for x
    x = 5,900,556.23/3,567.69
  6. Step 6: Final answer
    x = 1,653.89

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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.