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Finding the Fourth Proportional to 3,747.53, 5,620.77 and 2,356.63

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Solution

The fourth proportional to 3,747.53, 5,620.77 and 2,356.63 is: 3,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.53 : 5,620.77 = 2,356.63 : x
  2. Step 2: Convert to fraction form
    3,747.53/5,620.77 = 2,356.63/x
  3. Step 3: Cross multiply
    3,747.53x = 5,620.77 × 2,356.63
  4. Step 4: Simplify right side
    3,747.53x = 13,246,061.15
  5. Step 5: Solve for x
    x = 13,246,061.15/3,747.53
  6. Step 6: Final answer
    x = 3,534.61

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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.