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Finding the Fourth Proportional to 3,625.74, 5,437.74 and 1,676.07

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Solution

The fourth proportional to 3,625.74, 5,437.74 and 1,676.07 is: 2,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.74 : 5,437.74 = 1,676.07 : x
  2. Step 2: Convert to fraction form
    3,625.74/5,437.74 = 1,676.07/x
  3. Step 3: Cross multiply
    3,625.74x = 5,437.74 × 1,676.07
  4. Step 4: Simplify right side
    3,625.74x = 9,114,032.88
  5. Step 5: Solve for x
    x = 9,114,032.88/3,625.74
  6. Step 6: Final answer
    x = 2,513.70

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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.