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Finding the Fourth Proportional to 5,844.51, 8,768.93 and 2,149.16

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Solution

The fourth proportional to 5,844.51, 8,768.93 and 2,149.16 is: 3,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.51 : 8,768.93 = 2,149.16 : x
  2. Step 2: Convert to fraction form
    5,844.51/8,768.93 = 2,149.16/x
  3. Step 3: Cross multiply
    5,844.51x = 8,768.93 × 2,149.16
  4. Step 4: Simplify right side
    5,844.51x = 18,845,779.01
  5. Step 5: Solve for x
    x = 18,845,779.01/5,844.51
  6. Step 6: Final answer
    x = 3,224.53

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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.