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Finding the Fourth Proportional to 4,094.26, 6,139.23 and 1,784.50

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Solution

The fourth proportional to 4,094.26, 6,139.23 and 1,784.50 is: 2,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.26 : 6,139.23 = 1,784.50 : x
  2. Step 2: Convert to fraction form
    4,094.26/6,139.23 = 1,784.50/x
  3. Step 3: Cross multiply
    4,094.26x = 6,139.23 × 1,784.50
  4. Step 4: Simplify right side
    4,094.26x = 10,955,455.94
  5. Step 5: Solve for x
    x = 10,955,455.94/4,094.26
  6. Step 6: Final answer
    x = 2,675.81

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Why These Related Problems?

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