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Finding the Fourth Proportional to 4,972.36, 6,859.89 and 3,205

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Solution

The fourth proportional to 4,972.36, 6,859.89 and 3,205 is: 4,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.36 : 6,859.89 = 3,205 : x
  2. Step 2: Convert to fraction form
    4,972.36/6,859.89 = 3,205/x
  3. Step 3: Cross multiply
    4,972.36x = 6,859.89 × 3,205
  4. Step 4: Simplify right side
    4,972.36x = 21,985,947.45
  5. Step 5: Solve for x
    x = 21,985,947.45/4,972.36
  6. Step 6: Final answer
    x = 4,421.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.