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Finding the Fourth Proportional to 4,776.80, 6,590.84 and 2,786.22

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Solution

The fourth proportional to 4,776.80, 6,590.84 and 2,786.22 is: 3,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.80 : 6,590.84 = 2,786.22 : x
  2. Step 2: Convert to fraction form
    4,776.80/6,590.84 = 2,786.22/x
  3. Step 3: Cross multiply
    4,776.80x = 6,590.84 × 2,786.22
  4. Step 4: Simplify right side
    4,776.80x = 18,363,516.29
  5. Step 5: Solve for x
    x = 18,363,516.29/4,776.80
  6. Step 6: Final answer
    x = 3,844.32

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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.