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Finding the Fourth Proportional to 5,138.68, 7,706.70 and 2,506.24

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Solution

The fourth proportional to 5,138.68, 7,706.70 and 2,506.24 is: 3,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.68 : 7,706.70 = 2,506.24 : x
  2. Step 2: Convert to fraction form
    5,138.68/7,706.70 = 2,506.24/x
  3. Step 3: Cross multiply
    5,138.68x = 7,706.70 × 2,506.24
  4. Step 4: Simplify right side
    5,138.68x = 19,314,839.81
  5. Step 5: Solve for x
    x = 19,314,839.81/5,138.68
  6. Step 6: Final answer
    x = 3,758.72

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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.