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Finding the Fourth Proportional to 3,622.74, 5,434.29 and 1,542.93

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Solution

The fourth proportional to 3,622.74, 5,434.29 and 1,542.93 is: 2,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.74 : 5,434.29 = 1,542.93 : x
  2. Step 2: Convert to fraction form
    3,622.74/5,434.29 = 1,542.93/x
  3. Step 3: Cross multiply
    3,622.74x = 5,434.29 × 1,542.93
  4. Step 4: Simplify right side
    3,622.74x = 8,384,729.07
  5. Step 5: Solve for x
    x = 8,384,729.07/3,622.74
  6. Step 6: Final answer
    x = 2,314.47

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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.