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Finding the Fourth Proportional to 3,700.82, 5,098.44 and 2,579.72

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Solution

The fourth proportional to 3,700.82, 5,098.44 and 2,579.72 is: 3,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.82 : 5,098.44 = 2,579.72 : x
  2. Step 2: Convert to fraction form
    3,700.82/5,098.44 = 2,579.72/x
  3. Step 3: Cross multiply
    3,700.82x = 5,098.44 × 2,579.72
  4. Step 4: Simplify right side
    3,700.82x = 13,152,547.64
  5. Step 5: Solve for x
    x = 13,152,547.64/3,700.82
  6. Step 6: Final answer
    x = 3,553.95

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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.