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Finding the Fourth Proportional to 4,184.76, 5,775.03 and 2,296.31

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Solution

The fourth proportional to 4,184.76, 5,775.03 and 2,296.31 is: 3,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.76 : 5,775.03 = 2,296.31 : x
  2. Step 2: Convert to fraction form
    4,184.76/5,775.03 = 2,296.31/x
  3. Step 3: Cross multiply
    4,184.76x = 5,775.03 × 2,296.31
  4. Step 4: Simplify right side
    4,184.76x = 13,261,259.14
  5. Step 5: Solve for x
    x = 13,261,259.14/4,184.76
  6. Step 6: Final answer
    x = 3,168.94

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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.