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Finding the Fourth Proportional to 4,610.53, 6,917.28 and 2,145.30

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Solution

The fourth proportional to 4,610.53, 6,917.28 and 2,145.30 is: 3,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.53 : 6,917.28 = 2,145.30 : x
  2. Step 2: Convert to fraction form
    4,610.53/6,917.28 = 2,145.30/x
  3. Step 3: Cross multiply
    4,610.53x = 6,917.28 × 2,145.30
  4. Step 4: Simplify right side
    4,610.53x = 14,839,640.78
  5. Step 5: Solve for x
    x = 14,839,640.78/4,610.53
  6. Step 6: Final answer
    x = 3,218.64

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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.