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Finding the Fourth Proportional to 5,153.98, 7,108.85 and 3,165.64

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Solution

The fourth proportional to 5,153.98, 7,108.85 and 3,165.64 is: 4,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.98 : 7,108.85 = 3,165.64 : x
  2. Step 2: Convert to fraction form
    5,153.98/7,108.85 = 3,165.64/x
  3. Step 3: Cross multiply
    5,153.98x = 7,108.85 × 3,165.64
  4. Step 4: Simplify right side
    5,153.98x = 22,504,008.54
  5. Step 5: Solve for x
    x = 22,504,008.54/5,153.98
  6. Step 6: Final answer
    x = 4,366.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.