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Finding the Fourth Proportional to 4,716.90, 6,493.77 and 4,014.18

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Solution

The fourth proportional to 4,716.90, 6,493.77 and 4,014.18 is: 5,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.90 : 6,493.77 = 4,014.18 : x
  2. Step 2: Convert to fraction form
    4,716.90/6,493.77 = 4,014.18/x
  3. Step 3: Cross multiply
    4,716.90x = 6,493.77 × 4,014.18
  4. Step 4: Simplify right side
    4,716.90x = 26,067,161.66
  5. Step 5: Solve for x
    x = 26,067,161.66/4,716.90
  6. Step 6: Final answer
    x = 5,526.33

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