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Finding the Fourth Proportional to 4,754.66, 6,563.23 and 4,256.37

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Solution

The fourth proportional to 4,754.66, 6,563.23 and 4,256.37 is: 5,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.66 : 6,563.23 = 4,256.37 : x
  2. Step 2: Convert to fraction form
    4,754.66/6,563.23 = 4,256.37/x
  3. Step 3: Cross multiply
    4,754.66x = 6,563.23 × 4,256.37
  4. Step 4: Simplify right side
    4,754.66x = 27,935,524.63
  5. Step 5: Solve for x
    x = 27,935,524.63/4,754.66
  6. Step 6: Final answer
    x = 5,875.41

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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.