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Finding the Fourth Proportional to 3,785.48, 5,679.06 and 1,477

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Solution

The fourth proportional to 3,785.48, 5,679.06 and 1,477 is: 2,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.48 : 5,679.06 = 1,477 : x
  2. Step 2: Convert to fraction form
    3,785.48/5,679.06 = 1,477/x
  3. Step 3: Cross multiply
    3,785.48x = 5,679.06 × 1,477
  4. Step 4: Simplify right side
    3,785.48x = 8,387,971.62
  5. Step 5: Solve for x
    x = 8,387,971.62/3,785.48
  6. Step 6: Final answer
    x = 2,215.83

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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.