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Finding the Fourth Proportional to 3,567.58, 5,351.76 and 1,227.76

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Solution

The fourth proportional to 3,567.58, 5,351.76 and 1,227.76 is: 1,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.58 : 5,351.76 = 1,227.76 : x
  2. Step 2: Convert to fraction form
    3,567.58/5,351.76 = 1,227.76/x
  3. Step 3: Cross multiply
    3,567.58x = 5,351.76 × 1,227.76
  4. Step 4: Simplify right side
    3,567.58x = 6,570,676.86
  5. Step 5: Solve for x
    x = 6,570,676.86/3,567.58
  6. Step 6: Final answer
    x = 1,841.77

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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.