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Finding the Fourth Proportional to 4,809.72, 7,214.48 and 2,034.96

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Solution

The fourth proportional to 4,809.72, 7,214.48 and 2,034.96 is: 3,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.72 : 7,214.48 = 2,034.96 : x
  2. Step 2: Convert to fraction form
    4,809.72/7,214.48 = 2,034.96/x
  3. Step 3: Cross multiply
    4,809.72x = 7,214.48 × 2,034.96
  4. Step 4: Simplify right side
    4,809.72x = 14,681,178.22
  5. Step 5: Solve for x
    x = 14,681,178.22/4,809.72
  6. Step 6: Final answer
    x = 3,052.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.