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Finding the Fourth Proportional to 3,475.84, 5,212.44 and 1,135.29

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Solution

The fourth proportional to 3,475.84, 5,212.44 and 1,135.29 is: 1,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.84 : 5,212.44 = 1,135.29 : x
  2. Step 2: Convert to fraction form
    3,475.84/5,212.44 = 1,135.29/x
  3. Step 3: Cross multiply
    3,475.84x = 5,212.44 × 1,135.29
  4. Step 4: Simplify right side
    3,475.84x = 5,917,631.01
  5. Step 5: Solve for x
    x = 5,917,631.01/3,475.84
  6. Step 6: Final answer
    x = 1,702.50

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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.