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Finding the Fourth Proportional to 5,398.24, 7,449.15 and 3,159.82

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Solution

The fourth proportional to 5,398.24, 7,449.15 and 3,159.82 is: 4,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.24 : 7,449.15 = 3,159.82 : x
  2. Step 2: Convert to fraction form
    5,398.24/7,449.15 = 3,159.82/x
  3. Step 3: Cross multiply
    5,398.24x = 7,449.15 × 3,159.82
  4. Step 4: Simplify right side
    5,398.24x = 23,537,973.15
  5. Step 5: Solve for x
    x = 23,537,973.15/5,398.24
  6. Step 6: Final answer
    x = 4,360.31

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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.