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Finding the Fourth Proportional to 4,842.51, 7,264.17 and 1,723.20

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Solution

The fourth proportional to 4,842.51, 7,264.17 and 1,723.20 is: 2,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.51 : 7,264.17 = 1,723.20 : x
  2. Step 2: Convert to fraction form
    4,842.51/7,264.17 = 1,723.20/x
  3. Step 3: Cross multiply
    4,842.51x = 7,264.17 × 1,723.20
  4. Step 4: Simplify right side
    4,842.51x = 12,517,617.74
  5. Step 5: Solve for x
    x = 12,517,617.74/4,842.51
  6. Step 6: Final answer
    x = 2,584.94

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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.