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Finding the Fourth Proportional to 3,697.70, 5,095.08 and 2,516.72

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Solution

The fourth proportional to 3,697.70, 5,095.08 and 2,516.72 is: 3,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.70 : 5,095.08 = 2,516.72 : x
  2. Step 2: Convert to fraction form
    3,697.70/5,095.08 = 2,516.72/x
  3. Step 3: Cross multiply
    3,697.70x = 5,095.08 × 2,516.72
  4. Step 4: Simplify right side
    3,697.70x = 12,822,889.74
  5. Step 5: Solve for x
    x = 12,822,889.74/3,697.70
  6. Step 6: Final answer
    x = 3,467.80

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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.