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Finding the Fourth Proportional to 5,746.23, 7,930.20 and 3,509.31

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Solution

The fourth proportional to 5,746.23, 7,930.20 and 3,509.31 is: 4,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.23 : 7,930.20 = 3,509.31 : x
  2. Step 2: Convert to fraction form
    5,746.23/7,930.20 = 3,509.31/x
  3. Step 3: Cross multiply
    5,746.23x = 7,930.20 × 3,509.31
  4. Step 4: Simplify right side
    5,746.23x = 27,829,530.16
  5. Step 5: Solve for x
    x = 27,829,530.16/5,746.23
  6. Step 6: Final answer
    x = 4,843.09

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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.