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Finding the Fourth Proportional to 5,116.94, 7,675.07 and 1,368.66

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Solution

The fourth proportional to 5,116.94, 7,675.07 and 1,368.66 is: 2,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.94 : 7,675.07 = 1,368.66 : x
  2. Step 2: Convert to fraction form
    5,116.94/7,675.07 = 1,368.66/x
  3. Step 3: Cross multiply
    5,116.94x = 7,675.07 × 1,368.66
  4. Step 4: Simplify right side
    5,116.94x = 10,504,554.46
  5. Step 5: Solve for x
    x = 10,504,554.46/5,116.94
  6. Step 6: Final answer
    x = 2,052.90

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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.