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Finding the Fourth Proportional to 4,266.96, 5,888.20 and 2,378.44

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Solution

The fourth proportional to 4,266.96, 5,888.20 and 2,378.44 is: 3,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.96 : 5,888.20 = 2,378.44 : x
  2. Step 2: Convert to fraction form
    4,266.96/5,888.20 = 2,378.44/x
  3. Step 3: Cross multiply
    4,266.96x = 5,888.20 × 2,378.44
  4. Step 4: Simplify right side
    4,266.96x = 14,004,730.41
  5. Step 5: Solve for x
    x = 14,004,730.41/4,266.96
  6. Step 6: Final answer
    x = 3,282.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.