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Finding the Fourth Proportional to 4,094.74, 5,650.86 and 2,326.30

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Solution

The fourth proportional to 4,094.74, 5,650.86 and 2,326.30 is: 3,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.74 : 5,650.86 = 2,326.30 : x
  2. Step 2: Convert to fraction form
    4,094.74/5,650.86 = 2,326.30/x
  3. Step 3: Cross multiply
    4,094.74x = 5,650.86 × 2,326.30
  4. Step 4: Simplify right side
    4,094.74x = 13,145,595.62
  5. Step 5: Solve for x
    x = 13,145,595.62/4,094.74
  6. Step 6: Final answer
    x = 3,210.36

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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.