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Finding the Fourth Proportional to 3,748.03, 5,620 and 1,150.63

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Solution

The fourth proportional to 3,748.03, 5,620 and 1,150.63 is: 1,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.03 : 5,620 = 1,150.63 : x
  2. Step 2: Convert to fraction form
    3,748.03/5,620 = 1,150.63/x
  3. Step 3: Cross multiply
    3,748.03x = 5,620 × 1,150.63
  4. Step 4: Simplify right side
    3,748.03x = 6,466,540.60
  5. Step 5: Solve for x
    x = 6,466,540.60/3,748.03
  6. Step 6: Final answer
    x = 1,725.32

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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.