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Finding the Fourth Proportional to 6,055.14, 8,356.41 and 3,697.14

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Solution

The fourth proportional to 6,055.14, 8,356.41 and 3,697.14 is: 5,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.14 : 8,356.41 = 3,697.14 : x
  2. Step 2: Convert to fraction form
    6,055.14/8,356.41 = 3,697.14/x
  3. Step 3: Cross multiply
    6,055.14x = 8,356.41 × 3,697.14
  4. Step 4: Simplify right side
    6,055.14x = 30,894,817.67
  5. Step 5: Solve for x
    x = 30,894,817.67/6,055.14
  6. Step 6: Final answer
    x = 5,102.25

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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.