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Finding the Fourth Proportional to 4,842.51, 7,264.71 and 1,722.66

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Solution

The fourth proportional to 4,842.51, 7,264.71 and 1,722.66 is: 2,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.51 : 7,264.71 = 1,722.66 : x
  2. Step 2: Convert to fraction form
    4,842.51/7,264.71 = 1,722.66/x
  3. Step 3: Cross multiply
    4,842.51x = 7,264.71 × 1,722.66
  4. Step 4: Simplify right side
    4,842.51x = 12,514,625.33
  5. Step 5: Solve for x
    x = 12,514,625.33/4,842.51
  6. Step 6: Final answer
    x = 2,584.33

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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.