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Finding the Fourth Proportional to 3,833.65, 5,289.06 and 2,840.59

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Solution

The fourth proportional to 3,833.65, 5,289.06 and 2,840.59 is: 3,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.65 : 5,289.06 = 2,840.59 : x
  2. Step 2: Convert to fraction form
    3,833.65/5,289.06 = 2,840.59/x
  3. Step 3: Cross multiply
    3,833.65x = 5,289.06 × 2,840.59
  4. Step 4: Simplify right side
    3,833.65x = 15,024,050.95
  5. Step 5: Solve for x
    x = 15,024,050.95/3,833.65
  6. Step 6: Final answer
    x = 3,918.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.