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Finding the Fourth Proportional to 3,393.60, 5,093.98 and 3,006

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Solution

The fourth proportional to 3,393.60, 5,093.98 and 3,006 is: 4,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.60 : 5,093.98 = 3,006 : x
  2. Step 2: Convert to fraction form
    3,393.60/5,093.98 = 3,006/x
  3. Step 3: Cross multiply
    3,393.60x = 5,093.98 × 3,006
  4. Step 4: Simplify right side
    3,393.60x = 15,312,503.88
  5. Step 5: Solve for x
    x = 15,312,503.88/3,393.60
  6. Step 6: Final answer
    x = 4,512.17

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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.