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Finding the Fourth Proportional to 4,064.06, 6,097.16 and 1,724.15

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Solution

The fourth proportional to 4,064.06, 6,097.16 and 1,724.15 is: 2,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.06 : 6,097.16 = 1,724.15 : x
  2. Step 2: Convert to fraction form
    4,064.06/6,097.16 = 1,724.15/x
  3. Step 3: Cross multiply
    4,064.06x = 6,097.16 × 1,724.15
  4. Step 4: Simplify right side
    4,064.06x = 10,512,437.97
  5. Step 5: Solve for x
    x = 10,512,437.97/4,064.06
  6. Step 6: Final answer
    x = 2,586.69

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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.