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Finding the Fourth Proportional to 4,825.98, 6,653.75 and 4,116.42

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Solution

The fourth proportional to 4,825.98, 6,653.75 and 4,116.42 is: 5,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.98 : 6,653.75 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    4,825.98/6,653.75 = 4,116.42/x
  3. Step 3: Cross multiply
    4,825.98x = 6,653.75 × 4,116.42
  4. Step 4: Simplify right side
    4,825.98x = 27,389,608.99
  5. Step 5: Solve for x
    x = 27,389,608.99/4,825.98
  6. Step 6: Final answer
    x = 5,675.45

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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.