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Finding the Fourth Proportional to 3,475.08, 5,212.38 and 878.04

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Solution

The fourth proportional to 3,475.08, 5,212.38 and 878.04 is: 1,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.08 : 5,212.38 = 878.04 : x
  2. Step 2: Convert to fraction form
    3,475.08/5,212.38 = 878.04/x
  3. Step 3: Cross multiply
    3,475.08x = 5,212.38 × 878.04
  4. Step 4: Simplify right side
    3,475.08x = 4,576,678.14
  5. Step 5: Solve for x
    x = 4,576,678.14/3,475.08
  6. Step 6: Final answer
    x = 1,317.00

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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.