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Finding the Fourth Proportional to 4,468.42, 6,696.22 and 2,516.50

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Solution

The fourth proportional to 4,468.42, 6,696.22 and 2,516.50 is: 3,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.42 : 6,696.22 = 2,516.50 : x
  2. Step 2: Convert to fraction form
    4,468.42/6,696.22 = 2,516.50/x
  3. Step 3: Cross multiply
    4,468.42x = 6,696.22 × 2,516.50
  4. Step 4: Simplify right side
    4,468.42x = 16,851,037.63
  5. Step 5: Solve for x
    x = 16,851,037.63/4,468.42
  6. Step 6: Final answer
    x = 3,771.14

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Why These Related Problems?

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