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Finding the Fourth Proportional to 3,565.89, 5,349.11 and 969.03

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Solution

The fourth proportional to 3,565.89, 5,349.11 and 969.03 is: 1,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.89 : 5,349.11 = 969.03 : x
  2. Step 2: Convert to fraction form
    3,565.89/5,349.11 = 969.03/x
  3. Step 3: Cross multiply
    3,565.89x = 5,349.11 × 969.03
  4. Step 4: Simplify right side
    3,565.89x = 5,183,443.22
  5. Step 5: Solve for x
    x = 5,183,443.22/3,565.89
  6. Step 6: Final answer
    x = 1,453.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.