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Finding the Fourth Proportional to 3,475.12, 5,212.86 and 878.08

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Solution

The fourth proportional to 3,475.12, 5,212.86 and 878.08 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.12 : 5,212.86 = 878.08 : x
  2. Step 2: Convert to fraction form
    3,475.12/5,212.86 = 878.08/x
  3. Step 3: Cross multiply
    3,475.12x = 5,212.86 × 878.08
  4. Step 4: Simplify right side
    3,475.12x = 4,577,308.11
  5. Step 5: Solve for x
    x = 4,577,308.11/3,475.12
  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.