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Finding the Fourth Proportional to 5,138.40, 7,706.04 and 2,216.16

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Solution

The fourth proportional to 5,138.40, 7,706.04 and 2,216.16 is: 3,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.40 : 7,706.04 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    5,138.40/7,706.04 = 2,216.16/x
  3. Step 3: Cross multiply
    5,138.40x = 7,706.04 × 2,216.16
  4. Step 4: Simplify right side
    5,138.40x = 17,077,817.61
  5. Step 5: Solve for x
    x = 17,077,817.61/5,138.40
  6. Step 6: Final answer
    x = 3,323.57

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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.