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Finding the Fourth Proportional to 3,590, 4,954.28 and 2,193.52

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Solution

The fourth proportional to 3,590, 4,954.28 and 2,193.52 is: 3,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590 : 4,954.28 = 2,193.52 : x
  2. Step 2: Convert to fraction form
    3,590/4,954.28 = 2,193.52/x
  3. Step 3: Cross multiply
    3,590x = 4,954.28 × 2,193.52
  4. Step 4: Simplify right side
    3,590x = 10,867,312.27
  5. Step 5: Solve for x
    x = 10,867,312.27/3,590
  6. Step 6: Final answer
    x = 3,027.11

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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.