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Finding the Fourth Proportional to 4,858.39, 7,288.64 and 1,571.43

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Solution

The fourth proportional to 4,858.39, 7,288.64 and 1,571.43 is: 2,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.39 : 7,288.64 = 1,571.43 : x
  2. Step 2: Convert to fraction form
    4,858.39/7,288.64 = 1,571.43/x
  3. Step 3: Cross multiply
    4,858.39x = 7,288.64 × 1,571.43
  4. Step 4: Simplify right side
    4,858.39x = 11,453,596.84
  5. Step 5: Solve for x
    x = 11,453,596.84/4,858.39
  6. Step 6: Final answer
    x = 2,357.49

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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.