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Finding the Fourth Proportional to 4,991, 6,893.34 and 3,416.36

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Solution

The fourth proportional to 4,991, 6,893.34 and 3,416.36 is: 4,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991 : 6,893.34 = 3,416.36 : x
  2. Step 2: Convert to fraction form
    4,991/6,893.34 = 3,416.36/x
  3. Step 3: Cross multiply
    4,991x = 6,893.34 × 3,416.36
  4. Step 4: Simplify right side
    4,991x = 23,550,131.04
  5. Step 5: Solve for x
    x = 23,550,131.04/4,991
  6. Step 6: Final answer
    x = 4,718.52

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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.