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Finding the Fourth Proportional to 5,221.94, 7,834.95 and 2,298.20

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Solution

The fourth proportional to 5,221.94, 7,834.95 and 2,298.20 is: 3,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.94 : 7,834.95 = 2,298.20 : x
  2. Step 2: Convert to fraction form
    5,221.94/7,834.95 = 2,298.20/x
  3. Step 3: Cross multiply
    5,221.94x = 7,834.95 × 2,298.20
  4. Step 4: Simplify right side
    5,221.94x = 18,006,242.92
  5. Step 5: Solve for x
    x = 18,006,242.92/5,221.94
  6. Step 6: Final answer
    x = 3,448.19

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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.