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Finding the Fourth Proportional to 4,920.92, 6,776.35 and 4,396.76

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Solution

The fourth proportional to 4,920.92, 6,776.35 and 4,396.76 is: 6,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.92 : 6,776.35 = 4,396.76 : x
  2. Step 2: Convert to fraction form
    4,920.92/6,776.35 = 4,396.76/x
  3. Step 3: Cross multiply
    4,920.92x = 6,776.35 × 4,396.76
  4. Step 4: Simplify right side
    4,920.92x = 29,793,939.75
  5. Step 5: Solve for x
    x = 29,793,939.75/4,920.92
  6. Step 6: Final answer
    x = 6,054.55

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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.