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Finding the Fourth Proportional to 3,530.49, 5,270.31 and 3,274.11

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Solution

The fourth proportional to 3,530.49, 5,270.31 and 3,274.11 is: 4,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.49 : 5,270.31 = 3,274.11 : x
  2. Step 2: Convert to fraction form
    3,530.49/5,270.31 = 3,274.11/x
  3. Step 3: Cross multiply
    3,530.49x = 5,270.31 × 3,274.11
  4. Step 4: Simplify right side
    3,530.49x = 17,255,574.67
  5. Step 5: Solve for x
    x = 17,255,574.67/3,530.49
  6. Step 6: Final answer
    x = 4,887.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.