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Finding the Fourth Proportional to 3,747.54, 5,620.75 and 2,356.64

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Solution

The fourth proportional to 3,747.54, 5,620.75 and 2,356.64 is: 3,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.54 : 5,620.75 = 2,356.64 : x
  2. Step 2: Convert to fraction form
    3,747.54/5,620.75 = 2,356.64/x
  3. Step 3: Cross multiply
    3,747.54x = 5,620.75 × 2,356.64
  4. Step 4: Simplify right side
    3,747.54x = 13,246,050.28
  5. Step 5: Solve for x
    x = 13,246,050.28/3,747.54
  6. Step 6: Final answer
    x = 3,534.60

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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.