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Finding the Fourth Proportional to 5,257.81, 7,259.16 and 3,271.07

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Solution

The fourth proportional to 5,257.81, 7,259.16 and 3,271.07 is: 4,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.81 : 7,259.16 = 3,271.07 : x
  2. Step 2: Convert to fraction form
    5,257.81/7,259.16 = 3,271.07/x
  3. Step 3: Cross multiply
    5,257.81x = 7,259.16 × 3,271.07
  4. Step 4: Simplify right side
    5,257.81x = 23,745,220.50
  5. Step 5: Solve for x
    x = 23,745,220.50/5,257.81
  6. Step 6: Final answer
    x = 4,516.18

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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.