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Finding the Fourth Proportional to 3,691.65, 5,537.37 and 1,225.47

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Solution

The fourth proportional to 3,691.65, 5,537.37 and 1,225.47 is: 1,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.65 : 5,537.37 = 1,225.47 : x
  2. Step 2: Convert to fraction form
    3,691.65/5,537.37 = 1,225.47/x
  3. Step 3: Cross multiply
    3,691.65x = 5,537.37 × 1,225.47
  4. Step 4: Simplify right side
    3,691.65x = 6,785,880.81
  5. Step 5: Solve for x
    x = 6,785,880.81/3,691.65
  6. Step 6: Final answer
    x = 1,838.17

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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.