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Finding the Fourth Proportional to 5,824.80, 8,690.94 and 5,411.88

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Solution

The fourth proportional to 5,824.80, 8,690.94 and 5,411.88 is: 8,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.80 : 8,690.94 = 5,411.88 : x
  2. Step 2: Convert to fraction form
    5,824.80/8,690.94 = 5,411.88/x
  3. Step 3: Cross multiply
    5,824.80x = 8,690.94 × 5,411.88
  4. Step 4: Simplify right side
    5,824.80x = 47,034,324.37
  5. Step 5: Solve for x
    x = 47,034,324.37/5,824.80
  6. Step 6: Final answer
    x = 8,074.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.