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Finding the Fourth Proportional to 3,679.44, 5,513.76 and 2,901.30

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Solution

The fourth proportional to 3,679.44, 5,513.76 and 2,901.30 is: 4,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.44 : 5,513.76 = 2,901.30 : x
  2. Step 2: Convert to fraction form
    3,679.44/5,513.76 = 2,901.30/x
  3. Step 3: Cross multiply
    3,679.44x = 5,513.76 × 2,901.30
  4. Step 4: Simplify right side
    3,679.44x = 15,997,071.89
  5. Step 5: Solve for x
    x = 15,997,071.89/3,679.44
  6. Step 6: Final answer
    x = 4,347.69

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