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Finding the Fourth Proportional to 5,161.94, 7,120.22 and 4,116.50

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Solution

The fourth proportional to 5,161.94, 7,120.22 and 4,116.50 is: 5,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.94 : 7,120.22 = 4,116.50 : x
  2. Step 2: Convert to fraction form
    5,161.94/7,120.22 = 4,116.50/x
  3. Step 3: Cross multiply
    5,161.94x = 7,120.22 × 4,116.50
  4. Step 4: Simplify right side
    5,161.94x = 29,310,385.63
  5. Step 5: Solve for x
    x = 29,310,385.63/5,161.94
  6. Step 6: Final answer
    x = 5,678.17

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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.