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Finding the Fourth Proportional to 5,808.78, 8,022.65 and 4,498.34

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Solution

The fourth proportional to 5,808.78, 8,022.65 and 4,498.34 is: 6,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.78 : 8,022.65 = 4,498.34 : x
  2. Step 2: Convert to fraction form
    5,808.78/8,022.65 = 4,498.34/x
  3. Step 3: Cross multiply
    5,808.78x = 8,022.65 × 4,498.34
  4. Step 4: Simplify right side
    5,808.78x = 36,088,544.80
  5. Step 5: Solve for x
    x = 36,088,544.80/5,808.78
  6. Step 6: Final answer
    x = 6,212.76

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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.