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Finding the Fourth Proportional to 3,765.44, 5,648.16 and 1,712

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Solution

The fourth proportional to 3,765.44, 5,648.16 and 1,712 is: 2,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.44 : 5,648.16 = 1,712 : x
  2. Step 2: Convert to fraction form
    3,765.44/5,648.16 = 1,712/x
  3. Step 3: Cross multiply
    3,765.44x = 5,648.16 × 1,712
  4. Step 4: Simplify right side
    3,765.44x = 9,669,649.92
  5. Step 5: Solve for x
    x = 9,669,649.92/3,765.44
  6. Step 6: Final answer
    x = 2,568

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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.