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Finding the Fourth Proportional to 3,530.71, 4,872.34 and 1,937.32

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Solution

The fourth proportional to 3,530.71, 4,872.34 and 1,937.32 is: 2,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.71 : 4,872.34 = 1,937.32 : x
  2. Step 2: Convert to fraction form
    3,530.71/4,872.34 = 1,937.32/x
  3. Step 3: Cross multiply
    3,530.71x = 4,872.34 × 1,937.32
  4. Step 4: Simplify right side
    3,530.71x = 9,439,272.04
  5. Step 5: Solve for x
    x = 9,439,272.04/3,530.71
  6. Step 6: Final answer
    x = 2,673.48

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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.