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Finding the Fourth Proportional to 6,094.78, 8,410.95 and 3,738.22

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Solution

The fourth proportional to 6,094.78, 8,410.95 and 3,738.22 is: 5,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.78 : 8,410.95 = 3,738.22 : x
  2. Step 2: Convert to fraction form
    6,094.78/8,410.95 = 3,738.22/x
  3. Step 3: Cross multiply
    6,094.78x = 8,410.95 × 3,738.22
  4. Step 4: Simplify right side
    6,094.78x = 31,441,981.51
  5. Step 5: Solve for x
    x = 31,441,981.51/6,094.78
  6. Step 6: Final answer
    x = 5,158.84

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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.