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Finding the Fourth Proportional to 3,681.15, 5,491.50 and 3,415.97

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Solution

The fourth proportional to 3,681.15, 5,491.50 and 3,415.97 is: 5,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.15 : 5,491.50 = 3,415.97 : x
  2. Step 2: Convert to fraction form
    3,681.15/5,491.50 = 3,415.97/x
  3. Step 3: Cross multiply
    3,681.15x = 5,491.50 × 3,415.97
  4. Step 4: Simplify right side
    3,681.15x = 18,758,800.17
  5. Step 5: Solve for x
    x = 18,758,800.17/3,681.15
  6. Step 6: Final answer
    x = 5,095.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.