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Finding the Fourth Proportional to 5,299.43, 7,312.91 and 2,941.43

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Solution

The fourth proportional to 5,299.43, 7,312.91 and 2,941.43 is: 4,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.43 : 7,312.91 = 2,941.43 : x
  2. Step 2: Convert to fraction form
    5,299.43/7,312.91 = 2,941.43/x
  3. Step 3: Cross multiply
    5,299.43x = 7,312.91 × 2,941.43
  4. Step 4: Simplify right side
    5,299.43x = 21,510,361.59
  5. Step 5: Solve for x
    x = 21,510,361.59/5,299.43
  6. Step 6: Final answer
    x = 4,059.00

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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.