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Finding the Fourth Proportional to 5,709.53, 8,559.78 and 3,747.38

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Solution

The fourth proportional to 5,709.53, 8,559.78 and 3,747.38 is: 5,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.53 : 8,559.78 = 3,747.38 : x
  2. Step 2: Convert to fraction form
    5,709.53/8,559.78 = 3,747.38/x
  3. Step 3: Cross multiply
    5,709.53x = 8,559.78 × 3,747.38
  4. Step 4: Simplify right side
    5,709.53x = 32,076,748.38
  5. Step 5: Solve for x
    x = 32,076,748.38/5,709.53
  6. Step 6: Final answer
    x = 5,618.11

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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.