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Finding the Fourth Proportional to 4,122.72, 5,690.10 and 2,631.10

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Solution

The fourth proportional to 4,122.72, 5,690.10 and 2,631.10 is: 3,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.72 : 5,690.10 = 2,631.10 : x
  2. Step 2: Convert to fraction form
    4,122.72/5,690.10 = 2,631.10/x
  3. Step 3: Cross multiply
    4,122.72x = 5,690.10 × 2,631.10
  4. Step 4: Simplify right side
    4,122.72x = 14,971,222.11
  5. Step 5: Solve for x
    x = 14,971,222.11/4,122.72
  6. Step 6: Final answer
    x = 3,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.