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Finding the Fourth Proportional to 5,852.18, 8,764.26 and 4,266.64

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Solution

The fourth proportional to 5,852.18, 8,764.26 and 4,266.64 is: 6,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.18 : 8,764.26 = 4,266.64 : x
  2. Step 2: Convert to fraction form
    5,852.18/8,764.26 = 4,266.64/x
  3. Step 3: Cross multiply
    5,852.18x = 8,764.26 × 4,266.64
  4. Step 4: Simplify right side
    5,852.18x = 37,393,942.29
  5. Step 5: Solve for x
    x = 37,393,942.29/5,852.18
  6. Step 6: Final answer
    x = 6,389.75

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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.