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Finding the Fourth Proportional to 3,496.67, 5,243.64 and 1,156.28

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Solution

The fourth proportional to 3,496.67, 5,243.64 and 1,156.28 is: 1,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.67 : 5,243.64 = 1,156.28 : x
  2. Step 2: Convert to fraction form
    3,496.67/5,243.64 = 1,156.28/x
  3. Step 3: Cross multiply
    3,496.67x = 5,243.64 × 1,156.28
  4. Step 4: Simplify right side
    3,496.67x = 6,063,085.50
  5. Step 5: Solve for x
    x = 6,063,085.50/3,496.67
  6. Step 6: Final answer
    x = 1,733.96

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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.