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Finding the Fourth Proportional to 5,773.50, 8,661.69 and 1,669.50

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Solution

The fourth proportional to 5,773.50, 8,661.69 and 1,669.50 is: 2,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.50 : 8,661.69 = 1,669.50 : x
  2. Step 2: Convert to fraction form
    5,773.50/8,661.69 = 1,669.50/x
  3. Step 3: Cross multiply
    5,773.50x = 8,661.69 × 1,669.50
  4. Step 4: Simplify right side
    5,773.50x = 14,460,691.46
  5. Step 5: Solve for x
    x = 14,460,691.46/5,773.50
  6. Step 6: Final answer
    x = 2,504.67

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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.