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Finding the Fourth Proportional to 6,410.04, 8,846.74 and 3,758.10

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Solution

The fourth proportional to 6,410.04, 8,846.74 and 3,758.10 is: 5,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.04 : 8,846.74 = 3,758.10 : x
  2. Step 2: Convert to fraction form
    6,410.04/8,846.74 = 3,758.10/x
  3. Step 3: Cross multiply
    6,410.04x = 8,846.74 × 3,758.10
  4. Step 4: Simplify right side
    6,410.04x = 33,246,933.59
  5. Step 5: Solve for x
    x = 33,246,933.59/6,410.04
  6. Step 6: Final answer
    x = 5,186.70

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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.