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Finding the Fourth Proportional to 3,412.96, 4,709.52 and 1,921.08

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Solution

The fourth proportional to 3,412.96, 4,709.52 and 1,921.08 is: 2,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.96 : 4,709.52 = 1,921.08 : x
  2. Step 2: Convert to fraction form
    3,412.96/4,709.52 = 1,921.08/x
  3. Step 3: Cross multiply
    3,412.96x = 4,709.52 × 1,921.08
  4. Step 4: Simplify right side
    3,412.96x = 9,047,364.68
  5. Step 5: Solve for x
    x = 9,047,364.68/3,412.96
  6. Step 6: Final answer
    x = 2,650.89

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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.