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Finding the Fourth Proportional to 3,319.66, 4,582.86 and 3,003.82

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Solution

The fourth proportional to 3,319.66, 4,582.86 and 3,003.82 is: 4,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.66 : 4,582.86 = 3,003.82 : x
  2. Step 2: Convert to fraction form
    3,319.66/4,582.86 = 3,003.82/x
  3. Step 3: Cross multiply
    3,319.66x = 4,582.86 × 3,003.82
  4. Step 4: Simplify right side
    3,319.66x = 13,766,086.53
  5. Step 5: Solve for x
    x = 13,766,086.53/3,319.66
  6. Step 6: Final answer
    x = 4,146.84

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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.