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Finding the Fourth Proportional to 3,468.66, 5,203.17 and 1,160.34

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Solution

The fourth proportional to 3,468.66, 5,203.17 and 1,160.34 is: 1,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.66 : 5,203.17 = 1,160.34 : x
  2. Step 2: Convert to fraction form
    3,468.66/5,203.17 = 1,160.34/x
  3. Step 3: Cross multiply
    3,468.66x = 5,203.17 × 1,160.34
  4. Step 4: Simplify right side
    3,468.66x = 6,037,446.28
  5. Step 5: Solve for x
    x = 6,037,446.28/3,468.66
  6. Step 6: Final answer
    x = 1,740.57

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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.