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Finding the Fourth Proportional to 4,537.87, 6,802.95 and 2,071.82

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Solution

The fourth proportional to 4,537.87, 6,802.95 and 2,071.82 is: 3,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.87 : 6,802.95 = 2,071.82 : x
  2. Step 2: Convert to fraction form
    4,537.87/6,802.95 = 2,071.82/x
  3. Step 3: Cross multiply
    4,537.87x = 6,802.95 × 2,071.82
  4. Step 4: Simplify right side
    4,537.87x = 14,094,487.87
  5. Step 5: Solve for x
    x = 14,094,487.87/4,537.87
  6. Step 6: Final answer
    x = 3,105.97

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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.