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Finding the Fourth Proportional to 5,602.92, 7,732.23 and 3,085.14

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Solution

The fourth proportional to 5,602.92, 7,732.23 and 3,085.14 is: 4,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.92 : 7,732.23 = 3,085.14 : x
  2. Step 2: Convert to fraction form
    5,602.92/7,732.23 = 3,085.14/x
  3. Step 3: Cross multiply
    5,602.92x = 7,732.23 × 3,085.14
  4. Step 4: Simplify right side
    5,602.92x = 23,855,012.06
  5. Step 5: Solve for x
    x = 23,855,012.06/5,602.92
  6. Step 6: Final answer
    x = 4,257.60

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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.