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Finding the Fourth Proportional to 5,747.41, 8,570.83 and 5,694.86

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Solution

The fourth proportional to 5,747.41, 8,570.83 and 5,694.86 is: 8,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.41 : 8,570.83 = 5,694.86 : x
  2. Step 2: Convert to fraction form
    5,747.41/8,570.83 = 5,694.86/x
  3. Step 3: Cross multiply
    5,747.41x = 8,570.83 × 5,694.86
  4. Step 4: Simplify right side
    5,747.41x = 48,809,689.52
  5. Step 5: Solve for x
    x = 48,809,689.52/5,747.41
  6. Step 6: Final answer
    x = 8,492.46

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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.