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Finding the Fourth Proportional to 5,709.90, 8,552.70 and 3,109.80

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Solution

The fourth proportional to 5,709.90, 8,552.70 and 3,109.80 is: 4,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.90 : 8,552.70 = 3,109.80 : x
  2. Step 2: Convert to fraction form
    5,709.90/8,552.70 = 3,109.80/x
  3. Step 3: Cross multiply
    5,709.90x = 8,552.70 × 3,109.80
  4. Step 4: Simplify right side
    5,709.90x = 26,597,186.46
  5. Step 5: Solve for x
    x = 26,597,186.46/5,709.90
  6. Step 6: Final answer
    x = 4,658.08

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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.