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Finding the Fourth Proportional to 3,532.50, 4,874.85 and 2,135.25

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Solution

The fourth proportional to 3,532.50, 4,874.85 and 2,135.25 is: 2,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.50 : 4,874.85 = 2,135.25 : x
  2. Step 2: Convert to fraction form
    3,532.50/4,874.85 = 2,135.25/x
  3. Step 3: Cross multiply
    3,532.50x = 4,874.85 × 2,135.25
  4. Step 4: Simplify right side
    3,532.50x = 10,409,023.46
  5. Step 5: Solve for x
    x = 10,409,023.46/3,532.50
  6. Step 6: Final answer
    x = 2,946.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.