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Finding the Fourth Proportional to 5,746.02, 7,929 and 3,227.94

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Solution

The fourth proportional to 5,746.02, 7,929 and 3,227.94 is: 4,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.02 : 7,929 = 3,227.94 : x
  2. Step 2: Convert to fraction form
    5,746.02/7,929 = 3,227.94/x
  3. Step 3: Cross multiply
    5,746.02x = 7,929 × 3,227.94
  4. Step 4: Simplify right side
    5,746.02x = 25,594,336.26
  5. Step 5: Solve for x
    x = 25,594,336.26/5,746.02
  6. Step 6: Final answer
    x = 4,454.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.