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Finding the Fourth Proportional to 3,507.50, 5,261.26 and 910.46

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Solution

The fourth proportional to 3,507.50, 5,261.26 and 910.46 is: 1,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.50 : 5,261.26 = 910.46 : x
  2. Step 2: Convert to fraction form
    3,507.50/5,261.26 = 910.46/x
  3. Step 3: Cross multiply
    3,507.50x = 5,261.26 × 910.46
  4. Step 4: Simplify right side
    3,507.50x = 4,790,166.78
  5. Step 5: Solve for x
    x = 4,790,166.78/3,507.50
  6. Step 6: Final answer
    x = 1,365.69

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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.