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Finding the Fourth Proportional to 3,690.32, 5,093.20 and 2,293.52

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Solution

The fourth proportional to 3,690.32, 5,093.20 and 2,293.52 is: 3,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.32 : 5,093.20 = 2,293.52 : x
  2. Step 2: Convert to fraction form
    3,690.32/5,093.20 = 2,293.52/x
  3. Step 3: Cross multiply
    3,690.32x = 5,093.20 × 2,293.52
  4. Step 4: Simplify right side
    3,690.32x = 11,681,356.06
  5. Step 5: Solve for x
    x = 11,681,356.06/3,690.32
  6. Step 6: Final answer
    x = 3,165.40

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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.