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Finding the Fourth Proportional to 3,593, 4,958.53 and 2,101.79

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Solution

The fourth proportional to 3,593, 4,958.53 and 2,101.79 is: 2,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593 : 4,958.53 = 2,101.79 : x
  2. Step 2: Convert to fraction form
    3,593/4,958.53 = 2,101.79/x
  3. Step 3: Cross multiply
    3,593x = 4,958.53 × 2,101.79
  4. Step 4: Simplify right side
    3,593x = 10,421,788.77
  5. Step 5: Solve for x
    x = 10,421,788.77/3,593
  6. Step 6: Final answer
    x = 2,900.58

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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.