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Finding the Fourth Proportional to 6,094.50, 8,410.59 and 3,736.14

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Solution

The fourth proportional to 6,094.50, 8,410.59 and 3,736.14 is: 5,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.50 : 8,410.59 = 3,736.14 : x
  2. Step 2: Convert to fraction form
    6,094.50/8,410.59 = 3,736.14/x
  3. Step 3: Cross multiply
    6,094.50x = 8,410.59 × 3,736.14
  4. Step 4: Simplify right side
    6,094.50x = 31,423,141.72
  5. Step 5: Solve for x
    x = 31,423,141.72/6,094.50
  6. Step 6: Final answer
    x = 5,155.98

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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.