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Finding the Fourth Proportional to 4,301.26, 6,454.63 and 1,836.10

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Solution

The fourth proportional to 4,301.26, 6,454.63 and 1,836.10 is: 2,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.26 : 6,454.63 = 1,836.10 : x
  2. Step 2: Convert to fraction form
    4,301.26/6,454.63 = 1,836.10/x
  3. Step 3: Cross multiply
    4,301.26x = 6,454.63 × 1,836.10
  4. Step 4: Simplify right side
    4,301.26x = 11,851,351.34
  5. Step 5: Solve for x
    x = 11,851,351.34/4,301.26
  6. Step 6: Final answer
    x = 2,755.32

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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.