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Finding the Fourth Proportional to 3,625.98, 5,007.96 and 2,445

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Solution

The fourth proportional to 3,625.98, 5,007.96 and 2,445 is: 3,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.98 : 5,007.96 = 2,445 : x
  2. Step 2: Convert to fraction form
    3,625.98/5,007.96 = 2,445/x
  3. Step 3: Cross multiply
    3,625.98x = 5,007.96 × 2,445
  4. Step 4: Simplify right side
    3,625.98x = 12,244,462.20
  5. Step 5: Solve for x
    x = 12,244,462.20/3,625.98
  6. Step 6: Final answer
    x = 3,376.87

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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.