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Finding the Fourth Proportional to 5,588.94, 7,713.14 and 3,697.24

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Solution

The fourth proportional to 5,588.94, 7,713.14 and 3,697.24 is: 5,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.94 : 7,713.14 = 3,697.24 : x
  2. Step 2: Convert to fraction form
    5,588.94/7,713.14 = 3,697.24/x
  3. Step 3: Cross multiply
    5,588.94x = 7,713.14 × 3,697.24
  4. Step 4: Simplify right side
    5,588.94x = 28,517,329.73
  5. Step 5: Solve for x
    x = 28,517,329.73/5,588.94
  6. Step 6: Final answer
    x = 5,102.46

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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.