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Finding the Fourth Proportional to 5,596.89, 8,396.91 and 4,566.66

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Solution

The fourth proportional to 5,596.89, 8,396.91 and 4,566.66 is: 6,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.89 : 8,396.91 = 4,566.66 : x
  2. Step 2: Convert to fraction form
    5,596.89/8,396.91 = 4,566.66/x
  3. Step 3: Cross multiply
    5,596.89x = 8,396.91 × 4,566.66
  4. Step 4: Simplify right side
    5,596.89x = 38,345,833.02
  5. Step 5: Solve for x
    x = 38,345,833.02/5,596.89
  6. Step 6: Final answer
    x = 6,851.28

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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.