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Finding the Fourth Proportional to 4,649.76, 6,400.62 and 4,016.43

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Solution

The fourth proportional to 4,649.76, 6,400.62 and 4,016.43 is: 5,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.76 : 6,400.62 = 4,016.43 : x
  2. Step 2: Convert to fraction form
    4,649.76/6,400.62 = 4,016.43/x
  3. Step 3: Cross multiply
    4,649.76x = 6,400.62 × 4,016.43
  4. Step 4: Simplify right side
    4,649.76x = 25,707,642.19
  5. Step 5: Solve for x
    x = 25,707,642.19/4,649.76
  6. Step 6: Final answer
    x = 5,528.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.