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Finding the Fourth Proportional to 3,523.74, 5,285.82 and 926.64

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Solution

The fourth proportional to 3,523.74, 5,285.82 and 926.64 is: 1,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.74 : 5,285.82 = 926.64 : x
  2. Step 2: Convert to fraction form
    3,523.74/5,285.82 = 926.64/x
  3. Step 3: Cross multiply
    3,523.74x = 5,285.82 × 926.64
  4. Step 4: Simplify right side
    3,523.74x = 4,898,052.24
  5. Step 5: Solve for x
    x = 4,898,052.24/3,523.74
  6. Step 6: Final answer
    x = 1,390.02

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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.