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Finding the Fourth Proportional to 3,698.76, 5,548.16 and 1,233.56

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Solution

The fourth proportional to 3,698.76, 5,548.16 and 1,233.56 is: 1,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.76 : 5,548.16 = 1,233.56 : x
  2. Step 2: Convert to fraction form
    3,698.76/5,548.16 = 1,233.56/x
  3. Step 3: Cross multiply
    3,698.76x = 5,548.16 × 1,233.56
  4. Step 4: Simplify right side
    3,698.76x = 6,844,005.20
  5. Step 5: Solve for x
    x = 6,844,005.20/3,698.76
  6. Step 6: Final answer
    x = 1,850.35

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1.5x scale

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.