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Finding the Fourth Proportional to 5,102.63, 7,648.54 and 2,906.65

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Solution

The fourth proportional to 5,102.63, 7,648.54 and 2,906.65 is: 4,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.63 : 7,648.54 = 2,906.65 : x
  2. Step 2: Convert to fraction form
    5,102.63/7,648.54 = 2,906.65/x
  3. Step 3: Cross multiply
    5,102.63x = 7,648.54 × 2,906.65
  4. Step 4: Simplify right side
    5,102.63x = 22,231,576.02
  5. Step 5: Solve for x
    x = 22,231,576.02/5,102.63
  6. Step 6: Final answer
    x = 4,356.89

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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.