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Finding the Fourth Proportional to 4,494.96, 6,743.66 and 2,548.53

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Solution

The fourth proportional to 4,494.96, 6,743.66 and 2,548.53 is: 3,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.96 : 6,743.66 = 2,548.53 : x
  2. Step 2: Convert to fraction form
    4,494.96/6,743.66 = 2,548.53/x
  3. Step 3: Cross multiply
    4,494.96x = 6,743.66 × 2,548.53
  4. Step 4: Simplify right side
    4,494.96x = 17,186,407.08
  5. Step 5: Solve for x
    x = 17,186,407.08/4,494.96
  6. Step 6: Final answer
    x = 3,823.48

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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.