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Finding the Fourth Proportional to 5,366.86, 7,405.78 and 2,976.82

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Solution

The fourth proportional to 5,366.86, 7,405.78 and 2,976.82 is: 4,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.86 : 7,405.78 = 2,976.82 : x
  2. Step 2: Convert to fraction form
    5,366.86/7,405.78 = 2,976.82/x
  3. Step 3: Cross multiply
    5,366.86x = 7,405.78 × 2,976.82
  4. Step 4: Simplify right side
    5,366.86x = 22,045,674.02
  5. Step 5: Solve for x
    x = 22,045,674.02/5,366.86
  6. Step 6: Final answer
    x = 4,107.74

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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.