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Finding the Fourth Proportional to 3,567.08, 5,350.91 and 969.99

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Solution

The fourth proportional to 3,567.08, 5,350.91 and 969.99 is: 1,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.08 : 5,350.91 = 969.99 : x
  2. Step 2: Convert to fraction form
    3,567.08/5,350.91 = 969.99/x
  3. Step 3: Cross multiply
    3,567.08x = 5,350.91 × 969.99
  4. Step 4: Simplify right side
    3,567.08x = 5,190,324.34
  5. Step 5: Solve for x
    x = 5,190,324.34/3,567.08
  6. Step 6: Final answer
    x = 1,455.06

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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.