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Finding the Fourth Proportional to 5,408.97, 7,464.34 and 3,051.09

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Solution

The fourth proportional to 5,408.97, 7,464.34 and 3,051.09 is: 4,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.97 : 7,464.34 = 3,051.09 : x
  2. Step 2: Convert to fraction form
    5,408.97/7,464.34 = 3,051.09/x
  3. Step 3: Cross multiply
    5,408.97x = 7,464.34 × 3,051.09
  4. Step 4: Simplify right side
    5,408.97x = 22,774,373.13
  5. Step 5: Solve for x
    x = 22,774,373.13/5,408.97
  6. Step 6: Final answer
    x = 4,210.48

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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.