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Finding the Fourth Proportional to 3,695.52, 5,102.28 and 2,843.28

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Solution

The fourth proportional to 3,695.52, 5,102.28 and 2,843.28 is: 3,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.52 : 5,102.28 = 2,843.28 : x
  2. Step 2: Convert to fraction form
    3,695.52/5,102.28 = 2,843.28/x
  3. Step 3: Cross multiply
    3,695.52x = 5,102.28 × 2,843.28
  4. Step 4: Simplify right side
    3,695.52x = 14,507,210.68
  5. Step 5: Solve for x
    x = 14,507,210.68/3,695.52
  6. Step 6: Final answer
    x = 3,925.62

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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.