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Finding the Fourth Proportional to 5,465.58, 7,542.81 and 3,107.76

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Solution

The fourth proportional to 5,465.58, 7,542.81 and 3,107.76 is: 4,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.58 : 7,542.81 = 3,107.76 : x
  2. Step 2: Convert to fraction form
    5,465.58/7,542.81 = 3,107.76/x
  3. Step 3: Cross multiply
    5,465.58x = 7,542.81 × 3,107.76
  4. Step 4: Simplify right side
    5,465.58x = 23,441,243.21
  5. Step 5: Solve for x
    x = 23,441,243.21/5,465.58
  6. Step 6: Final answer
    x = 4,288.88

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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.