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Finding the Fourth Proportional to 5,664.95, 7,814.56 and 3,617.03

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Solution

The fourth proportional to 5,664.95, 7,814.56 and 3,617.03 is: 4,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.95 : 7,814.56 = 3,617.03 : x
  2. Step 2: Convert to fraction form
    5,664.95/7,814.56 = 3,617.03/x
  3. Step 3: Cross multiply
    5,664.95x = 7,814.56 × 3,617.03
  4. Step 4: Simplify right side
    5,664.95x = 28,265,497.96
  5. Step 5: Solve for x
    x = 28,265,497.96/5,664.95
  6. Step 6: Final answer
    x = 4,989.54

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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.