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Finding the Fourth Proportional to 5,669.72, 8,505.78 and 1,774.42

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Solution

The fourth proportional to 5,669.72, 8,505.78 and 1,774.42 is: 2,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.72 : 8,505.78 = 1,774.42 : x
  2. Step 2: Convert to fraction form
    5,669.72/8,505.78 = 1,774.42/x
  3. Step 3: Cross multiply
    5,669.72x = 8,505.78 × 1,774.42
  4. Step 4: Simplify right side
    5,669.72x = 15,092,826.15
  5. Step 5: Solve for x
    x = 15,092,826.15/5,669.72
  6. Step 6: Final answer
    x = 2,662.01

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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.