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Finding the Fourth Proportional to 3,748.02, 5,622.83 and 1,439.50

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Solution

The fourth proportional to 3,748.02, 5,622.83 and 1,439.50 is: 2,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.02 : 5,622.83 = 1,439.50 : x
  2. Step 2: Convert to fraction form
    3,748.02/5,622.83 = 1,439.50/x
  3. Step 3: Cross multiply
    3,748.02x = 5,622.83 × 1,439.50
  4. Step 4: Simplify right side
    3,748.02x = 8,094,063.79
  5. Step 5: Solve for x
    x = 8,094,063.79/3,748.02
  6. Step 6: Final answer
    x = 2,159.56

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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.