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Finding the Fourth Proportional to 4,382.16, 6,571.08 and 1,606.86

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Solution

The fourth proportional to 4,382.16, 6,571.08 and 1,606.86 is: 2,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.16 : 6,571.08 = 1,606.86 : x
  2. Step 2: Convert to fraction form
    4,382.16/6,571.08 = 1,606.86/x
  3. Step 3: Cross multiply
    4,382.16x = 6,571.08 × 1,606.86
  4. Step 4: Simplify right side
    4,382.16x = 10,558,805.61
  5. Step 5: Solve for x
    x = 10,558,805.61/4,382.16
  6. Step 6: Final answer
    x = 2,409.50

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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.