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Finding the Fourth Proportional to 5,111.40, 7,704.86 and 4,690.20

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Solution

The fourth proportional to 5,111.40, 7,704.86 and 4,690.20 is: 7,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.40 : 7,704.86 = 4,690.20 : x
  2. Step 2: Convert to fraction form
    5,111.40/7,704.86 = 4,690.20/x
  3. Step 3: Cross multiply
    5,111.40x = 7,704.86 × 4,690.20
  4. Step 4: Simplify right side
    5,111.40x = 36,137,310.92
  5. Step 5: Solve for x
    x = 36,137,310.92/5,111.40
  6. Step 6: Final answer
    x = 7,069.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.