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Finding the Fourth Proportional to 3,682.53, 5,523.93 and 1,490.94

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Solution

The fourth proportional to 3,682.53, 5,523.93 and 1,490.94 is: 2,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.53 : 5,523.93 = 1,490.94 : x
  2. Step 2: Convert to fraction form
    3,682.53/5,523.93 = 1,490.94/x
  3. Step 3: Cross multiply
    3,682.53x = 5,523.93 × 1,490.94
  4. Step 4: Simplify right side
    3,682.53x = 8,235,848.19
  5. Step 5: Solve for x
    x = 8,235,848.19/3,682.53
  6. Step 6: Final answer
    x = 2,236.46

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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.