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Finding the Fourth Proportional to 4,224.04, 6,335.34 and 1,146.04

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Solution

The fourth proportional to 4,224.04, 6,335.34 and 1,146.04 is: 1,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.04 : 6,335.34 = 1,146.04 : x
  2. Step 2: Convert to fraction form
    4,224.04/6,335.34 = 1,146.04/x
  3. Step 3: Cross multiply
    4,224.04x = 6,335.34 × 1,146.04
  4. Step 4: Simplify right side
    4,224.04x = 7,260,553.05
  5. Step 5: Solve for x
    x = 7,260,553.05/4,224.04
  6. Step 6: Final answer
    x = 1,718.86

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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.