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Finding the Fourth Proportional to 3,683.62, 5,523.42 and 1,460.20

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Solution

The fourth proportional to 3,683.62, 5,523.42 and 1,460.20 is: 2,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.62 : 5,523.42 = 1,460.20 : x
  2. Step 2: Convert to fraction form
    3,683.62/5,523.42 = 1,460.20/x
  3. Step 3: Cross multiply
    3,683.62x = 5,523.42 × 1,460.20
  4. Step 4: Simplify right side
    3,683.62x = 8,065,308.30
  5. Step 5: Solve for x
    x = 8,065,308.30/3,683.62
  6. Step 6: Final answer
    x = 2,189.50

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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.