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Finding the Fourth Proportional to 5,256.63, 7,878.27 and 5,201.01

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Solution

The fourth proportional to 5,256.63, 7,878.27 and 5,201.01 is: 7,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.63 : 7,878.27 = 5,201.01 : x
  2. Step 2: Convert to fraction form
    5,256.63/7,878.27 = 5,201.01/x
  3. Step 3: Cross multiply
    5,256.63x = 7,878.27 × 5,201.01
  4. Step 4: Simplify right side
    5,256.63x = 40,974,935.05
  5. Step 5: Solve for x
    x = 40,974,935.05/5,256.63
  6. Step 6: Final answer
    x = 7,794.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.