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Finding the Fourth Proportional to 4,920.66, 6,794.75 and 4,219.45

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Solution

The fourth proportional to 4,920.66, 6,794.75 and 4,219.45 is: 5,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.66 : 6,794.75 = 4,219.45 : x
  2. Step 2: Convert to fraction form
    4,920.66/6,794.75 = 4,219.45/x
  3. Step 3: Cross multiply
    4,920.66x = 6,794.75 × 4,219.45
  4. Step 4: Simplify right side
    4,920.66x = 28,670,131.76
  5. Step 5: Solve for x
    x = 28,670,131.76/4,920.66
  6. Step 6: Final answer
    x = 5,826.48

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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.