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Finding the Fourth Proportional to 4,534.88, 6,767.86 and 4,418.24

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Solution

The fourth proportional to 4,534.88, 6,767.86 and 4,418.24 is: 6,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.88 : 6,767.86 = 4,418.24 : x
  2. Step 2: Convert to fraction form
    4,534.88/6,767.86 = 4,418.24/x
  3. Step 3: Cross multiply
    4,534.88x = 6,767.86 × 4,418.24
  4. Step 4: Simplify right side
    4,534.88x = 29,902,029.77
  5. Step 5: Solve for x
    x = 29,902,029.77/4,534.88
  6. Step 6: Final answer
    x = 6,593.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.