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Finding the Fourth Proportional to 3,685.56, 5,085.95 and 2,193.14

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Solution

The fourth proportional to 3,685.56, 5,085.95 and 2,193.14 is: 3,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.56 : 5,085.95 = 2,193.14 : x
  2. Step 2: Convert to fraction form
    3,685.56/5,085.95 = 2,193.14/x
  3. Step 3: Cross multiply
    3,685.56x = 5,085.95 × 2,193.14
  4. Step 4: Simplify right side
    3,685.56x = 11,154,163.99
  5. Step 5: Solve for x
    x = 11,154,163.99/3,685.56
  6. Step 6: Final answer
    x = 3,026.45

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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.