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Finding the Fourth Proportional to 3,842.99, 5,305.95 and 2,834.84

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Solution

The fourth proportional to 3,842.99, 5,305.95 and 2,834.84 is: 3,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.99 : 5,305.95 = 2,834.84 : x
  2. Step 2: Convert to fraction form
    3,842.99/5,305.95 = 2,834.84/x
  3. Step 3: Cross multiply
    3,842.99x = 5,305.95 × 2,834.84
  4. Step 4: Simplify right side
    3,842.99x = 15,041,492.77
  5. Step 5: Solve for x
    x = 15,041,492.77/3,842.99
  6. Step 6: Final answer
    x = 3,914.01

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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.