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Finding the Fourth Proportional to 5,216.58, 7,817.49 and 2,746.41

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Solution

The fourth proportional to 5,216.58, 7,817.49 and 2,746.41 is: 4,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.58 : 7,817.49 = 2,746.41 : x
  2. Step 2: Convert to fraction form
    5,216.58/7,817.49 = 2,746.41/x
  3. Step 3: Cross multiply
    5,216.58x = 7,817.49 × 2,746.41
  4. Step 4: Simplify right side
    5,216.58x = 21,470,032.71
  5. Step 5: Solve for x
    x = 21,470,032.71/5,216.58
  6. Step 6: Final answer
    x = 4,115.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.