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Finding the Fourth Proportional to 6,491.26, 8,957.99 and 3,658.63

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Solution

The fourth proportional to 6,491.26, 8,957.99 and 3,658.63 is: 5,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.26 : 8,957.99 = 3,658.63 : x
  2. Step 2: Convert to fraction form
    6,491.26/8,957.99 = 3,658.63/x
  3. Step 3: Cross multiply
    6,491.26x = 8,957.99 × 3,658.63
  4. Step 4: Simplify right side
    6,491.26x = 32,773,970.95
  5. Step 5: Solve for x
    x = 32,773,970.95/6,491.26
  6. Step 6: Final answer
    x = 5,048.94

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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.