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Finding the Fourth Proportional to 4,514.56, 6,226.80 and 3,019.84

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Solution

The fourth proportional to 4,514.56, 6,226.80 and 3,019.84 is: 4,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.56 : 6,226.80 = 3,019.84 : x
  2. Step 2: Convert to fraction form
    4,514.56/6,226.80 = 3,019.84/x
  3. Step 3: Cross multiply
    4,514.56x = 6,226.80 × 3,019.84
  4. Step 4: Simplify right side
    4,514.56x = 18,803,939.71
  5. Step 5: Solve for x
    x = 18,803,939.71/4,514.56
  6. Step 6: Final answer
    x = 4,165.18

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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.