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Finding the Fourth Proportional to 4,809.52, 7,214.32 and 1,346.72

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Solution

The fourth proportional to 4,809.52, 7,214.32 and 1,346.72 is: 2,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.52 : 7,214.32 = 1,346.72 : x
  2. Step 2: Convert to fraction form
    4,809.52/7,214.32 = 1,346.72/x
  3. Step 3: Cross multiply
    4,809.52x = 7,214.32 × 1,346.72
  4. Step 4: Simplify right side
    4,809.52x = 9,715,669.03
  5. Step 5: Solve for x
    x = 9,715,669.03/4,809.52
  6. Step 6: Final answer
    x = 2,020.09

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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.