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Finding the Fourth Proportional to 4,215.04, 6,323.96 and 1,754.64

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Solution

The fourth proportional to 4,215.04, 6,323.96 and 1,754.64 is: 2,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.04 : 6,323.96 = 1,754.64 : x
  2. Step 2: Convert to fraction form
    4,215.04/6,323.96 = 1,754.64/x
  3. Step 3: Cross multiply
    4,215.04x = 6,323.96 × 1,754.64
  4. Step 4: Simplify right side
    4,215.04x = 11,096,273.17
  5. Step 5: Solve for x
    x = 11,096,273.17/4,215.04
  6. Step 6: Final answer
    x = 2,632.54

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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.