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Finding the Fourth Proportional to 4,094.48, 6,143.16 and 1,785.68

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Solution

The fourth proportional to 4,094.48, 6,143.16 and 1,785.68 is: 2,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.48 : 6,143.16 = 1,785.68 : x
  2. Step 2: Convert to fraction form
    4,094.48/6,143.16 = 1,785.68/x
  3. Step 3: Cross multiply
    4,094.48x = 6,143.16 × 1,785.68
  4. Step 4: Simplify right side
    4,094.48x = 10,969,717.95
  5. Step 5: Solve for x
    x = 10,969,717.95/4,094.48
  6. Step 6: Final answer
    x = 2,679.15

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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.