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Finding the Fourth Proportional to 5,097.65, 7,033.82 and 3,421.49

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Solution

The fourth proportional to 5,097.65, 7,033.82 and 3,421.49 is: 4,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.65 : 7,033.82 = 3,421.49 : x
  2. Step 2: Convert to fraction form
    5,097.65/7,033.82 = 3,421.49/x
  3. Step 3: Cross multiply
    5,097.65x = 7,033.82 × 3,421.49
  4. Step 4: Simplify right side
    5,097.65x = 24,066,092.52
  5. Step 5: Solve for x
    x = 24,066,092.52/5,097.65
  6. Step 6: Final answer
    x = 4,721.02

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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.