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Finding the Fourth Proportional to 3,536.87, 5,304.08 and 1,346.22

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Solution

The fourth proportional to 3,536.87, 5,304.08 and 1,346.22 is: 2,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.87 : 5,304.08 = 1,346.22 : x
  2. Step 2: Convert to fraction form
    3,536.87/5,304.08 = 1,346.22/x
  3. Step 3: Cross multiply
    3,536.87x = 5,304.08 × 1,346.22
  4. Step 4: Simplify right side
    3,536.87x = 7,140,461.94
  5. Step 5: Solve for x
    x = 7,140,461.94/3,536.87
  6. Step 6: Final answer
    x = 2,018.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.