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Finding the Fourth Proportional to 4,495.65, 6,739.38 and 1,571.91

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Solution

The fourth proportional to 4,495.65, 6,739.38 and 1,571.91 is: 2,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.65 : 6,739.38 = 1,571.91 : x
  2. Step 2: Convert to fraction form
    4,495.65/6,739.38 = 1,571.91/x
  3. Step 3: Cross multiply
    4,495.65x = 6,739.38 × 1,571.91
  4. Step 4: Simplify right side
    4,495.65x = 10,593,669.12
  5. Step 5: Solve for x
    x = 10,593,669.12/4,495.65
  6. Step 6: Final answer
    x = 2,356.43

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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.