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Finding the Fourth Proportional to 3,889.98, 5,802.60 and 3,516.30

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Solution

The fourth proportional to 3,889.98, 5,802.60 and 3,516.30 is: 5,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.98 : 5,802.60 = 3,516.30 : x
  2. Step 2: Convert to fraction form
    3,889.98/5,802.60 = 3,516.30/x
  3. Step 3: Cross multiply
    3,889.98x = 5,802.60 × 3,516.30
  4. Step 4: Simplify right side
    3,889.98x = 20,403,682.38
  5. Step 5: Solve for x
    x = 20,403,682.38/3,889.98
  6. Step 6: Final answer
    x = 5,245.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.