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Finding the Fourth Proportional to 5,669.85, 8,503.56 and 1,773.75

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Solution

The fourth proportional to 5,669.85, 8,503.56 and 1,773.75 is: 2,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.85 : 8,503.56 = 1,773.75 : x
  2. Step 2: Convert to fraction form
    5,669.85/8,503.56 = 1,773.75/x
  3. Step 3: Cross multiply
    5,669.85x = 8,503.56 × 1,773.75
  4. Step 4: Simplify right side
    5,669.85x = 15,083,189.55
  5. Step 5: Solve for x
    x = 15,083,189.55/5,669.85
  6. Step 6: Final answer
    x = 2,660.24

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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.