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Finding the Fourth Proportional to 5,108.90, 7,648.47 and 3,798.45

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Solution

The fourth proportional to 5,108.90, 7,648.47 and 3,798.45 is: 5,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.90 : 7,648.47 = 3,798.45 : x
  2. Step 2: Convert to fraction form
    5,108.90/7,648.47 = 3,798.45/x
  3. Step 3: Cross multiply
    5,108.90x = 7,648.47 × 3,798.45
  4. Step 4: Simplify right side
    5,108.90x = 29,052,330.87
  5. Step 5: Solve for x
    x = 29,052,330.87/5,108.90
  6. Step 6: Final answer
    x = 5,686.61

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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.