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Finding the Fourth Proportional to 3,305.84, 4,956.33 and 1,575.68

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Solution

The fourth proportional to 3,305.84, 4,956.33 and 1,575.68 is: 2,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.84 : 4,956.33 = 1,575.68 : x
  2. Step 2: Convert to fraction form
    3,305.84/4,956.33 = 1,575.68/x
  3. Step 3: Cross multiply
    3,305.84x = 4,956.33 × 1,575.68
  4. Step 4: Simplify right side
    3,305.84x = 7,809,590.05
  5. Step 5: Solve for x
    x = 7,809,590.05/3,305.84
  6. Step 6: Final answer
    x = 2,362.36

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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.