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Finding the Fourth Proportional to 5,746.26, 7,932.84 and 4,467.30

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Solution

The fourth proportional to 5,746.26, 7,932.84 and 4,467.30 is: 6,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.26 : 7,932.84 = 4,467.30 : x
  2. Step 2: Convert to fraction form
    5,746.26/7,932.84 = 4,467.30/x
  3. Step 3: Cross multiply
    5,746.26x = 7,932.84 × 4,467.30
  4. Step 4: Simplify right side
    5,746.26x = 35,438,376.13
  5. Step 5: Solve for x
    x = 35,438,376.13/5,746.26
  6. Step 6: Final answer
    x = 6,167.21

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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.