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Finding the Fourth Proportional to 4,657.80, 6,972.30 and 3,361.80

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Solution

The fourth proportional to 4,657.80, 6,972.30 and 3,361.80 is: 5,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.80 : 6,972.30 = 3,361.80 : x
  2. Step 2: Convert to fraction form
    4,657.80/6,972.30 = 3,361.80/x
  3. Step 3: Cross multiply
    4,657.80x = 6,972.30 × 3,361.80
  4. Step 4: Simplify right side
    4,657.80x = 23,439,478.14
  5. Step 5: Solve for x
    x = 23,439,478.14/4,657.80
  6. Step 6: Final answer
    x = 5,032.31

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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.