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Finding the Fourth Proportional to 3,640.84, 5,024.10 and 2,856.76

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Solution

The fourth proportional to 3,640.84, 5,024.10 and 2,856.76 is: 3,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.84 : 5,024.10 = 2,856.76 : x
  2. Step 2: Convert to fraction form
    3,640.84/5,024.10 = 2,856.76/x
  3. Step 3: Cross multiply
    3,640.84x = 5,024.10 × 2,856.76
  4. Step 4: Simplify right side
    3,640.84x = 14,352,647.92
  5. Step 5: Solve for x
    x = 14,352,647.92/3,640.84
  6. Step 6: Final answer
    x = 3,942.13

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1.5x scale

Why These Related Problems?

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