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Finding the Fourth Proportional to 5,741.78, 7,919.31 and 4,946.45

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Solution

The fourth proportional to 5,741.78, 7,919.31 and 4,946.45 is: 6,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.78 : 7,919.31 = 4,946.45 : x
  2. Step 2: Convert to fraction form
    5,741.78/7,919.31 = 4,946.45/x
  3. Step 3: Cross multiply
    5,741.78x = 7,919.31 × 4,946.45
  4. Step 4: Simplify right side
    5,741.78x = 39,172,431.35
  5. Step 5: Solve for x
    x = 39,172,431.35/5,741.78
  6. Step 6: Final answer
    x = 6,822.36

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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.