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Finding the Fourth Proportional to 3,530.62, 5,270.05 and 3,071.62

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Solution

The fourth proportional to 3,530.62, 5,270.05 and 3,071.62 is: 4,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.62 : 5,270.05 = 3,071.62 : x
  2. Step 2: Convert to fraction form
    3,530.62/5,270.05 = 3,071.62/x
  3. Step 3: Cross multiply
    3,530.62x = 5,270.05 × 3,071.62
  4. Step 4: Simplify right side
    3,530.62x = 16,187,590.98
  5. Step 5: Solve for x
    x = 16,187,590.98/3,530.62
  6. Step 6: Final answer
    x = 4,584.91

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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.