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Finding the Fourth Proportional to 4,617.74, 6,943.26 and 4,256.94

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Solution

The fourth proportional to 4,617.74, 6,943.26 and 4,256.94 is: 6,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.74 : 6,943.26 = 4,256.94 : x
  2. Step 2: Convert to fraction form
    4,617.74/6,943.26 = 4,256.94/x
  3. Step 3: Cross multiply
    4,617.74x = 6,943.26 × 4,256.94
  4. Step 4: Simplify right side
    4,617.74x = 29,557,041.22
  5. Step 5: Solve for x
    x = 29,557,041.22/4,617.74
  6. Step 6: Final answer
    x = 6,400.76

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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.