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Finding the Fourth Proportional to 5,675.97, 7,830.30 and 3,317.07

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Solution

The fourth proportional to 5,675.97, 7,830.30 and 3,317.07 is: 4,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.97 : 7,830.30 = 3,317.07 : x
  2. Step 2: Convert to fraction form
    5,675.97/7,830.30 = 3,317.07/x
  3. Step 3: Cross multiply
    5,675.97x = 7,830.30 × 3,317.07
  4. Step 4: Simplify right side
    5,675.97x = 25,973,653.22
  5. Step 5: Solve for x
    x = 25,973,653.22/5,675.97
  6. Step 6: Final answer
    x = 4,576.07

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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.