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Finding the Fourth Proportional to 5,756, 7,944.24 and 4,356.32

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Solution

The fourth proportional to 5,756, 7,944.24 and 4,356.32 is: 6,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756 : 7,944.24 = 4,356.32 : x
  2. Step 2: Convert to fraction form
    5,756/7,944.24 = 4,356.32/x
  3. Step 3: Cross multiply
    5,756x = 7,944.24 × 4,356.32
  4. Step 4: Simplify right side
    5,756x = 34,607,651.60
  5. Step 5: Solve for x
    x = 34,607,651.60/5,756
  6. Step 6: Final answer
    x = 6,012.45

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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.