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Finding the Fourth Proportional to 5,192.07, 7,165.04 and 2,834.21

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Solution

The fourth proportional to 5,192.07, 7,165.04 and 2,834.21 is: 3,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.07 : 7,165.04 = 2,834.21 : x
  2. Step 2: Convert to fraction form
    5,192.07/7,165.04 = 2,834.21/x
  3. Step 3: Cross multiply
    5,192.07x = 7,165.04 × 2,834.21
  4. Step 4: Simplify right side
    5,192.07x = 20,307,178.02
  5. Step 5: Solve for x
    x = 20,307,178.02/5,192.07
  6. Step 6: Final answer
    x = 3,911.19

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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.