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Finding the Fourth Proportional to 3,479.94, 5,216.67 and 1,746.54

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Solution

The fourth proportional to 3,479.94, 5,216.67 and 1,746.54 is: 2,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.94 : 5,216.67 = 1,746.54 : x
  2. Step 2: Convert to fraction form
    3,479.94/5,216.67 = 1,746.54/x
  3. Step 3: Cross multiply
    3,479.94x = 5,216.67 × 1,746.54
  4. Step 4: Simplify right side
    3,479.94x = 9,111,122.82
  5. Step 5: Solve for x
    x = 9,111,122.82/3,479.94
  6. Step 6: Final answer
    x = 2,618.18

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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.