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Finding the Fourth Proportional to 4,289.82, 5,883.02 and 4,065.18

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Solution

The fourth proportional to 4,289.82, 5,883.02 and 4,065.18 is: 5,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.82 : 5,883.02 = 4,065.18 : x
  2. Step 2: Convert to fraction form
    4,289.82/5,883.02 = 4,065.18/x
  3. Step 3: Cross multiply
    4,289.82x = 5,883.02 × 4,065.18
  4. Step 4: Simplify right side
    4,289.82x = 23,915,514.92
  5. Step 5: Solve for x
    x = 23,915,514.92/4,289.82
  6. Step 6: Final answer
    x = 5,574.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.