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Finding the Fourth Proportional to 3,622.78, 5,434.71 and 1,025.65

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Solution

The fourth proportional to 3,622.78, 5,434.71 and 1,025.65 is: 1,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.78 : 5,434.71 = 1,025.65 : x
  2. Step 2: Convert to fraction form
    3,622.78/5,434.71 = 1,025.65/x
  3. Step 3: Cross multiply
    3,622.78x = 5,434.71 × 1,025.65
  4. Step 4: Simplify right side
    3,622.78x = 5,574,110.31
  5. Step 5: Solve for x
    x = 5,574,110.31/3,622.78
  6. Step 6: Final answer
    x = 1,538.63

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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.