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Finding the Fourth Proportional to 3,567.73, 5,351.73 and 970.66

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Solution

The fourth proportional to 3,567.73, 5,351.73 and 970.66 is: 1,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.73 : 5,351.73 = 970.66 : x
  2. Step 2: Convert to fraction form
    3,567.73/5,351.73 = 970.66/x
  3. Step 3: Cross multiply
    3,567.73x = 5,351.73 × 970.66
  4. Step 4: Simplify right side
    3,567.73x = 5,194,710.24
  5. Step 5: Solve for x
    x = 5,194,710.24/3,567.73
  6. Step 6: Final answer
    x = 1,456.03

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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.