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Finding the Fourth Proportional to 4,361.46, 6,541.49 and 1,895.63

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Solution

The fourth proportional to 4,361.46, 6,541.49 and 1,895.63 is: 2,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.46 : 6,541.49 = 1,895.63 : x
  2. Step 2: Convert to fraction form
    4,361.46/6,541.49 = 1,895.63/x
  3. Step 3: Cross multiply
    4,361.46x = 6,541.49 × 1,895.63
  4. Step 4: Simplify right side
    4,361.46x = 12,400,202.50
  5. Step 5: Solve for x
    x = 12,400,202.50/4,361.46
  6. Step 6: Final answer
    x = 2,843.13

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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.