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Finding the Fourth Proportional to 3,496.93, 5,244.15 and 1,156.50

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Solution

The fourth proportional to 3,496.93, 5,244.15 and 1,156.50 is: 1,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.93 : 5,244.15 = 1,156.50 : x
  2. Step 2: Convert to fraction form
    3,496.93/5,244.15 = 1,156.50/x
  3. Step 3: Cross multiply
    3,496.93x = 5,244.15 × 1,156.50
  4. Step 4: Simplify right side
    3,496.93x = 6,064,859.48
  5. Step 5: Solve for x
    x = 6,064,859.48/3,496.93
  6. Step 6: Final answer
    x = 1,734.34

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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.