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Finding the Fourth Proportional to 5,746.21, 7,930.52 and 3,508.39

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Solution

The fourth proportional to 5,746.21, 7,930.52 and 3,508.39 is: 4,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.21 : 7,930.52 = 3,508.39 : x
  2. Step 2: Convert to fraction form
    5,746.21/7,930.52 = 3,508.39/x
  3. Step 3: Cross multiply
    5,746.21x = 7,930.52 × 3,508.39
  4. Step 4: Simplify right side
    5,746.21x = 27,823,357.06
  5. Step 5: Solve for x
    x = 27,823,357.06/5,746.21
  6. Step 6: Final answer
    x = 4,842.04

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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.