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Finding the Fourth Proportional to 4,174.64, 5,761.06 and 2,602.44

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Solution

The fourth proportional to 4,174.64, 5,761.06 and 2,602.44 is: 3,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.64 : 5,761.06 = 2,602.44 : x
  2. Step 2: Convert to fraction form
    4,174.64/5,761.06 = 2,602.44/x
  3. Step 3: Cross multiply
    4,174.64x = 5,761.06 × 2,602.44
  4. Step 4: Simplify right side
    4,174.64x = 14,992,812.99
  5. Step 5: Solve for x
    x = 14,992,812.99/4,174.64
  6. Step 6: Final answer
    x = 3,591.40

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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.