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Finding the Fourth Proportional to 5,607.98, 7,741.82 and 4,346.21

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Solution

The fourth proportional to 5,607.98, 7,741.82 and 4,346.21 is: 5,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.98 : 7,741.82 = 4,346.21 : x
  2. Step 2: Convert to fraction form
    5,607.98/7,741.82 = 4,346.21/x
  3. Step 3: Cross multiply
    5,607.98x = 7,741.82 × 4,346.21
  4. Step 4: Simplify right side
    5,607.98x = 33,647,562.17
  5. Step 5: Solve for x
    x = 33,647,562.17/5,607.98
  6. Step 6: Final answer
    x = 5,999.94

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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.