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Finding the Fourth Proportional to 3,235.96, 4,856.82 and 1,505.56

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Solution

The fourth proportional to 3,235.96, 4,856.82 and 1,505.56 is: 2,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.96 : 4,856.82 = 1,505.56 : x
  2. Step 2: Convert to fraction form
    3,235.96/4,856.82 = 1,505.56/x
  3. Step 3: Cross multiply
    3,235.96x = 4,856.82 × 1,505.56
  4. Step 4: Simplify right side
    3,235.96x = 7,312,233.92
  5. Step 5: Solve for x
    x = 7,312,233.92/3,235.96
  6. Step 6: Final answer
    x = 2,259.68

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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.