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Finding the Fourth Proportional to 6,410.67, 8,846.76 and 3,758.10

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Solution

The fourth proportional to 6,410.67, 8,846.76 and 3,758.10 is: 5,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.67 : 8,846.76 = 3,758.10 : x
  2. Step 2: Convert to fraction form
    6,410.67/8,846.76 = 3,758.10/x
  3. Step 3: Cross multiply
    6,410.67x = 8,846.76 × 3,758.10
  4. Step 4: Simplify right side
    6,410.67x = 33,247,008.76
  5. Step 5: Solve for x
    x = 33,247,008.76/6,410.67
  6. Step 6: Final answer
    x = 5,186.20

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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.