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Finding the Fourth Proportional to 3,768.54, 5,643.06 and 2,602.14

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Solution

The fourth proportional to 3,768.54, 5,643.06 and 2,602.14 is: 3,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.54 : 5,643.06 = 2,602.14 : x
  2. Step 2: Convert to fraction form
    3,768.54/5,643.06 = 2,602.14/x
  3. Step 3: Cross multiply
    3,768.54x = 5,643.06 × 2,602.14
  4. Step 4: Simplify right side
    3,768.54x = 14,684,032.15
  5. Step 5: Solve for x
    x = 14,684,032.15/3,768.54
  6. Step 6: Final answer
    x = 3,896.48

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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.