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Finding the Fourth Proportional to 5,766.85, 8,653 and 3,431.47

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Solution

The fourth proportional to 5,766.85, 8,653 and 3,431.47 is: 5,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.85 : 8,653 = 3,431.47 : x
  2. Step 2: Convert to fraction form
    5,766.85/8,653 = 3,431.47/x
  3. Step 3: Cross multiply
    5,766.85x = 8,653 × 3,431.47
  4. Step 4: Simplify right side
    5,766.85x = 29,692,466.65
  5. Step 5: Solve for x
    x = 29,692,466.65/5,766.85
  6. Step 6: Final answer
    x = 5,148.82

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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.