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Finding the Fourth Proportional to 3,500.94, 5,242.08 and 3,085.76

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Solution

The fourth proportional to 3,500.94, 5,242.08 and 3,085.76 is: 4,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.94 : 5,242.08 = 3,085.76 : x
  2. Step 2: Convert to fraction form
    3,500.94/5,242.08 = 3,085.76/x
  3. Step 3: Cross multiply
    3,500.94x = 5,242.08 × 3,085.76
  4. Step 4: Simplify right side
    3,500.94x = 16,175,800.78
  5. Step 5: Solve for x
    x = 16,175,800.78/3,500.94
  6. Step 6: Final answer
    x = 4,620.42

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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.