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Finding the Fourth Proportional to 5,963.40, 8,945.10 and 1,581.30

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Solution

The fourth proportional to 5,963.40, 8,945.10 and 1,581.30 is: 2,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.40 : 8,945.10 = 1,581.30 : x
  2. Step 2: Convert to fraction form
    5,963.40/8,945.10 = 1,581.30/x
  3. Step 3: Cross multiply
    5,963.40x = 8,945.10 × 1,581.30
  4. Step 4: Simplify right side
    5,963.40x = 14,144,886.63
  5. Step 5: Solve for x
    x = 14,144,886.63/5,963.40
  6. Step 6: Final answer
    x = 2,371.95

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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.