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Finding the Fourth Proportional to 3,827.04, 5,760.12 and 3,263.20

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Solution

The fourth proportional to 3,827.04, 5,760.12 and 3,263.20 is: 4,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.04 : 5,760.12 = 3,263.20 : x
  2. Step 2: Convert to fraction form
    3,827.04/5,760.12 = 3,263.20/x
  3. Step 3: Cross multiply
    3,827.04x = 5,760.12 × 3,263.20
  4. Step 4: Simplify right side
    3,827.04x = 18,796,423.58
  5. Step 5: Solve for x
    x = 18,796,423.58/3,827.04
  6. Step 6: Final answer
    x = 4,911.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.