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Finding the Fourth Proportional to 5,138.22, 7,707.57 and 1,440.71

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Solution

The fourth proportional to 5,138.22, 7,707.57 and 1,440.71 is: 2,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.22 : 7,707.57 = 1,440.71 : x
  2. Step 2: Convert to fraction form
    5,138.22/7,707.57 = 1,440.71/x
  3. Step 3: Cross multiply
    5,138.22x = 7,707.57 × 1,440.71
  4. Step 4: Simplify right side
    5,138.22x = 11,104,373.17
  5. Step 5: Solve for x
    x = 11,104,373.17/5,138.22
  6. Step 6: Final answer
    x = 2,161.13

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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.