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Finding the Fourth Proportional to 3,676.69, 5,509.63 and 2,898.60

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Solution

The fourth proportional to 3,676.69, 5,509.63 and 2,898.60 is: 4,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.69 : 5,509.63 = 2,898.60 : x
  2. Step 2: Convert to fraction form
    3,676.69/5,509.63 = 2,898.60/x
  3. Step 3: Cross multiply
    3,676.69x = 5,509.63 × 2,898.60
  4. Step 4: Simplify right side
    3,676.69x = 15,970,213.52
  5. Step 5: Solve for x
    x = 15,970,213.52/3,676.69
  6. Step 6: Final answer
    x = 4,343.64

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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.