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Finding the Fourth Proportional to 6,359.72, 9,541.85 and 3,865.98

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Solution

The fourth proportional to 6,359.72, 9,541.85 and 3,865.98 is: 5,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.72 : 9,541.85 = 3,865.98 : x
  2. Step 2: Convert to fraction form
    6,359.72/9,541.85 = 3,865.98/x
  3. Step 3: Cross multiply
    6,359.72x = 9,541.85 × 3,865.98
  4. Step 4: Simplify right side
    6,359.72x = 36,888,601.26
  5. Step 5: Solve for x
    x = 36,888,601.26/6,359.72
  6. Step 6: Final answer
    x = 5,800.35

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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.