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Finding the Fourth Proportional to 3,703.50, 5,102.32 and 3,044.56

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Solution

The fourth proportional to 3,703.50, 5,102.32 and 3,044.56 is: 4,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 5,102.32 = 3,044.56 : x
  2. Step 2: Convert to fraction form
    3,703.50/5,102.32 = 3,044.56/x
  3. Step 3: Cross multiply
    3,703.50x = 5,102.32 × 3,044.56
  4. Step 4: Simplify right side
    3,703.50x = 15,534,319.38
  5. Step 5: Solve for x
    x = 15,534,319.38/3,703.50
  6. Step 6: Final answer
    x = 4,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.