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Finding the Fourth Proportional to 3,508.94, 5,264.13 and 1,200.62

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Solution

The fourth proportional to 3,508.94, 5,264.13 and 1,200.62 is: 1,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.94 : 5,264.13 = 1,200.62 : x
  2. Step 2: Convert to fraction form
    3,508.94/5,264.13 = 1,200.62/x
  3. Step 3: Cross multiply
    3,508.94x = 5,264.13 × 1,200.62
  4. Step 4: Simplify right side
    3,508.94x = 6,320,219.76
  5. Step 5: Solve for x
    x = 6,320,219.76/3,508.94
  6. Step 6: Final answer
    x = 1,801.18

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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.