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Finding the Fourth Proportional to 6,159.24, 8,497.92 and 3,641.58

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Solution

The fourth proportional to 6,159.24, 8,497.92 and 3,641.58 is: 5,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.24 : 8,497.92 = 3,641.58 : x
  2. Step 2: Convert to fraction form
    6,159.24/8,497.92 = 3,641.58/x
  3. Step 3: Cross multiply
    6,159.24x = 8,497.92 × 3,641.58
  4. Step 4: Simplify right side
    6,159.24x = 30,945,855.51
  5. Step 5: Solve for x
    x = 30,945,855.51/6,159.24
  6. Step 6: Final answer
    x = 5,024.30

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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.