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Finding the Fourth Proportional to 4,494.48, 6,742.74 and 1,863.42

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Solution

The fourth proportional to 4,494.48, 6,742.74 and 1,863.42 is: 2,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.48 : 6,742.74 = 1,863.42 : x
  2. Step 2: Convert to fraction form
    4,494.48/6,742.74 = 1,863.42/x
  3. Step 3: Cross multiply
    4,494.48x = 6,742.74 × 1,863.42
  4. Step 4: Simplify right side
    4,494.48x = 12,564,556.57
  5. Step 5: Solve for x
    x = 12,564,556.57/4,494.48
  6. Step 6: Final answer
    x = 2,795.55

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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.