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Finding the Fourth Proportional to 4,094.34, 5,650.20 and 2,326.53

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Solution

The fourth proportional to 4,094.34, 5,650.20 and 2,326.53 is: 3,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.34 : 5,650.20 = 2,326.53 : x
  2. Step 2: Convert to fraction form
    4,094.34/5,650.20 = 2,326.53/x
  3. Step 3: Cross multiply
    4,094.34x = 5,650.20 × 2,326.53
  4. Step 4: Simplify right side
    4,094.34x = 13,145,359.81
  5. Step 5: Solve for x
    x = 13,145,359.81/4,094.34
  6. Step 6: Final answer
    x = 3,210.62

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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.