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Finding the Fourth Proportional to 5,736.98, 7,917.32 and 3,498.48

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Solution

The fourth proportional to 5,736.98, 7,917.32 and 3,498.48 is: 4,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.98 : 7,917.32 = 3,498.48 : x
  2. Step 2: Convert to fraction form
    5,736.98/7,917.32 = 3,498.48/x
  3. Step 3: Cross multiply
    5,736.98x = 7,917.32 × 3,498.48
  4. Step 4: Simplify right side
    5,736.98x = 27,698,585.67
  5. Step 5: Solve for x
    x = 27,698,585.67/5,736.98
  6. Step 6: Final answer
    x = 4,828.08

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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.