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Finding the Fourth Proportional to 3,475.17, 5,212.77 and 878.11

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Solution

The fourth proportional to 3,475.17, 5,212.77 and 878.11 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.17 : 5,212.77 = 878.11 : x
  2. Step 2: Convert to fraction form
    3,475.17/5,212.77 = 878.11/x
  3. Step 3: Cross multiply
    3,475.17x = 5,212.77 × 878.11
  4. Step 4: Simplify right side
    3,475.17x = 4,577,387.66
  5. Step 5: Solve for x
    x = 4,577,387.66/3,475.17
  6. Step 6: Final answer
    x = 1,317.17

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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.