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Finding the Fourth Proportional to 3,834.99, 5,752.49 and 3,313.41

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Solution

The fourth proportional to 3,834.99, 5,752.49 and 3,313.41 is: 4,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.99 : 5,752.49 = 3,313.41 : x
  2. Step 2: Convert to fraction form
    3,834.99/5,752.49 = 3,313.41/x
  3. Step 3: Cross multiply
    3,834.99x = 5,752.49 × 3,313.41
  4. Step 4: Simplify right side
    3,834.99x = 19,060,385.78
  5. Step 5: Solve for x
    x = 19,060,385.78/3,834.99
  6. Step 6: Final answer
    x = 4,970.13

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1.5x scale

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.