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Finding the Fourth Proportional to 5,256.96, 7,846.97 and 4,634.20

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Solution

The fourth proportional to 5,256.96, 7,846.97 and 4,634.20 is: 6,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.96 : 7,846.97 = 4,634.20 : x
  2. Step 2: Convert to fraction form
    5,256.96/7,846.97 = 4,634.20/x
  3. Step 3: Cross multiply
    5,256.96x = 7,846.97 × 4,634.20
  4. Step 4: Simplify right side
    5,256.96x = 36,364,428.37
  5. Step 5: Solve for x
    x = 36,364,428.37/5,256.96
  6. Step 6: Final answer
    x = 6,917.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.