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Finding the Fourth Proportional to 3,627.14, 5,440.71 and 1,029.74

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Solution

The fourth proportional to 3,627.14, 5,440.71 and 1,029.74 is: 1,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.14 : 5,440.71 = 1,029.74 : x
  2. Step 2: Convert to fraction form
    3,627.14/5,440.71 = 1,029.74/x
  3. Step 3: Cross multiply
    3,627.14x = 5,440.71 × 1,029.74
  4. Step 4: Simplify right side
    3,627.14x = 5,602,516.72
  5. Step 5: Solve for x
    x = 5,602,516.72/3,627.14
  6. Step 6: Final answer
    x = 1,544.61

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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.