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Finding the Fourth Proportional to 3,845.60, 5,767.17 and 1,247.93

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Solution

The fourth proportional to 3,845.60, 5,767.17 and 1,247.93 is: 1,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.60 : 5,767.17 = 1,247.93 : x
  2. Step 2: Convert to fraction form
    3,845.60/5,767.17 = 1,247.93/x
  3. Step 3: Cross multiply
    3,845.60x = 5,767.17 × 1,247.93
  4. Step 4: Simplify right side
    3,845.60x = 7,197,024.46
  5. Step 5: Solve for x
    x = 7,197,024.46/3,845.60
  6. Step 6: Final answer
    x = 1,871.50

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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.