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Finding the Fourth Proportional to 3,853.44, 5,778 and 2,465.91

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Solution

The fourth proportional to 3,853.44, 5,778 and 2,465.91 is: 3,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.44 : 5,778 = 2,465.91 : x
  2. Step 2: Convert to fraction form
    3,853.44/5,778 = 2,465.91/x
  3. Step 3: Cross multiply
    3,853.44x = 5,778 × 2,465.91
  4. Step 4: Simplify right side
    3,853.44x = 14,248,027.98
  5. Step 5: Solve for x
    x = 14,248,027.98/3,853.44
  6. Step 6: Final answer
    x = 3,697.48

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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.