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Finding the Fourth Proportional to 3,416.86, 5,133.78 and 2,184.82

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Solution

The fourth proportional to 3,416.86, 5,133.78 and 2,184.82 is: 3,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.86 : 5,133.78 = 2,184.82 : x
  2. Step 2: Convert to fraction form
    3,416.86/5,133.78 = 2,184.82/x
  3. Step 3: Cross multiply
    3,416.86x = 5,133.78 × 2,184.82
  4. Step 4: Simplify right side
    3,416.86x = 11,216,385.22
  5. Step 5: Solve for x
    x = 11,216,385.22/3,416.86
  6. Step 6: Final answer
    x = 3,282.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.