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Finding the Fourth Proportional to 3,107.70, 4,678.56 and 2,835.54

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Solution

The fourth proportional to 3,107.70, 4,678.56 and 2,835.54 is: 4,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.70 : 4,678.56 = 2,835.54 : x
  2. Step 2: Convert to fraction form
    3,107.70/4,678.56 = 2,835.54/x
  3. Step 3: Cross multiply
    3,107.70x = 4,678.56 × 2,835.54
  4. Step 4: Simplify right side
    3,107.70x = 13,266,244.02
  5. Step 5: Solve for x
    x = 13,266,244.02/3,107.70
  6. Step 6: Final answer
    x = 4,268.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.