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Finding the Fourth Proportional to 5,366.42, 7,405.79 and 2,976.24

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Solution

The fourth proportional to 5,366.42, 7,405.79 and 2,976.24 is: 4,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.42 : 7,405.79 = 2,976.24 : x
  2. Step 2: Convert to fraction form
    5,366.42/7,405.79 = 2,976.24/x
  3. Step 3: Cross multiply
    5,366.42x = 7,405.79 × 2,976.24
  4. Step 4: Simplify right side
    5,366.42x = 22,041,393.55
  5. Step 5: Solve for x
    x = 22,041,393.55/5,366.42
  6. Step 6: Final answer
    x = 4,107.28

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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.