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Finding the Fourth Proportional to 4,072.98, 6,097.55 and 3,683.88

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Solution

The fourth proportional to 4,072.98, 6,097.55 and 3,683.88 is: 5,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.98 : 6,097.55 = 3,683.88 : x
  2. Step 2: Convert to fraction form
    4,072.98/6,097.55 = 3,683.88/x
  3. Step 3: Cross multiply
    4,072.98x = 6,097.55 × 3,683.88
  4. Step 4: Simplify right side
    4,072.98x = 22,462,642.49
  5. Step 5: Solve for x
    x = 22,462,642.49/4,072.98
  6. Step 6: Final answer
    x = 5,515.04

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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.