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Finding the Fourth Proportional to 3,754.18, 5,631.99 and 1,445.50

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Solution

The fourth proportional to 3,754.18, 5,631.99 and 1,445.50 is: 2,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.18 : 5,631.99 = 1,445.50 : x
  2. Step 2: Convert to fraction form
    3,754.18/5,631.99 = 1,445.50/x
  3. Step 3: Cross multiply
    3,754.18x = 5,631.99 × 1,445.50
  4. Step 4: Simplify right side
    3,754.18x = 8,141,041.55
  5. Step 5: Solve for x
    x = 8,141,041.55/3,754.18
  6. Step 6: Final answer
    x = 2,168.53

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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.