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Finding the Fourth Proportional to 6,637.24, 9,159.06 and 3,653

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Solution

The fourth proportional to 6,637.24, 9,159.06 and 3,653 is: 5,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.24 : 9,159.06 = 3,653 : x
  2. Step 2: Convert to fraction form
    6,637.24/9,159.06 = 3,653/x
  3. Step 3: Cross multiply
    6,637.24x = 9,159.06 × 3,653
  4. Step 4: Simplify right side
    6,637.24x = 33,458,046.18
  5. Step 5: Solve for x
    x = 33,458,046.18/6,637.24
  6. Step 6: Final answer
    x = 5,040.96

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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.