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Finding the Fourth Proportional to 5,137.81, 7,706.13 and 1,440.34

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Solution

The fourth proportional to 5,137.81, 7,706.13 and 1,440.34 is: 2,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.81 : 7,706.13 = 1,440.34 : x
  2. Step 2: Convert to fraction form
    5,137.81/7,706.13 = 1,440.34/x
  3. Step 3: Cross multiply
    5,137.81x = 7,706.13 × 1,440.34
  4. Step 4: Simplify right side
    5,137.81x = 11,099,447.28
  5. Step 5: Solve for x
    x = 11,099,447.28/5,137.81
  6. Step 6: Final answer
    x = 2,160.35

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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.