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Finding the Fourth Proportional to 5,138.25, 7,706.19 and 1,440.84

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Solution

The fourth proportional to 5,138.25, 7,706.19 and 1,440.84 is: 2,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.25 : 7,706.19 = 1,440.84 : x
  2. Step 2: Convert to fraction form
    5,138.25/7,706.19 = 1,440.84/x
  3. Step 3: Cross multiply
    5,138.25x = 7,706.19 × 1,440.84
  4. Step 4: Simplify right side
    5,138.25x = 11,103,386.80
  5. Step 5: Solve for x
    x = 11,103,386.80/5,138.25
  6. Step 6: Final answer
    x = 2,160.93

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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.