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Finding the Fourth Proportional to 5,774, 7,971.76 and 4,445.20

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Solution

The fourth proportional to 5,774, 7,971.76 and 4,445.20 is: 6,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 7,971.76 = 4,445.20 : x
  2. Step 2: Convert to fraction form
    5,774/7,971.76 = 4,445.20/x
  3. Step 3: Cross multiply
    5,774x = 7,971.76 × 4,445.20
  4. Step 4: Simplify right side
    5,774x = 35,436,067.55
  5. Step 5: Solve for x
    x = 35,436,067.55/5,774
  6. Step 6: Final answer
    x = 6,137.18

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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.