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Finding the Fourth Proportional to 5,108.98, 7,648.60 and 3,798.56

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Solution

The fourth proportional to 5,108.98, 7,648.60 and 3,798.56 is: 5,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.98 : 7,648.60 = 3,798.56 : x
  2. Step 2: Convert to fraction form
    5,108.98/7,648.60 = 3,798.56/x
  3. Step 3: Cross multiply
    5,108.98x = 7,648.60 × 3,798.56
  4. Step 4: Simplify right side
    5,108.98x = 29,053,666.02
  5. Step 5: Solve for x
    x = 29,053,666.02/5,108.98
  6. Step 6: Final answer
    x = 5,686.78

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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.