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Finding the Fourth Proportional to 4,201.86, 5,798.80 and 2,409.63

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Solution

The fourth proportional to 4,201.86, 5,798.80 and 2,409.63 is: 3,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.86 : 5,798.80 = 2,409.63 : x
  2. Step 2: Convert to fraction form
    4,201.86/5,798.80 = 2,409.63/x
  3. Step 3: Cross multiply
    4,201.86x = 5,798.80 × 2,409.63
  4. Step 4: Simplify right side
    4,201.86x = 13,972,962.44
  5. Step 5: Solve for x
    x = 13,972,962.44/4,201.86
  6. Step 6: Final answer
    x = 3,325.42

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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.