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Finding the Fourth Proportional to 4,125.36, 6,188.36 and 1,785.44

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Solution

The fourth proportional to 4,125.36, 6,188.36 and 1,785.44 is: 2,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.36 : 6,188.36 = 1,785.44 : x
  2. Step 2: Convert to fraction form
    4,125.36/6,188.36 = 1,785.44/x
  3. Step 3: Cross multiply
    4,125.36x = 6,188.36 × 1,785.44
  4. Step 4: Simplify right side
    4,125.36x = 11,048,945.48
  5. Step 5: Solve for x
    x = 11,048,945.48/4,125.36
  6. Step 6: Final answer
    x = 2,678.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.