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Finding the Fourth Proportional to 3,661.32, 5,497.45 and 3,606.65

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Solution

The fourth proportional to 3,661.32, 5,497.45 and 3,606.65 is: 5,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.32 : 5,497.45 = 3,606.65 : x
  2. Step 2: Convert to fraction form
    3,661.32/5,497.45 = 3,606.65/x
  3. Step 3: Cross multiply
    3,661.32x = 5,497.45 × 3,606.65
  4. Step 4: Simplify right side
    3,661.32x = 19,827,378.04
  5. Step 5: Solve for x
    x = 19,827,378.04/3,661.32
  6. Step 6: Final answer
    x = 5,415.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.