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Finding the Fourth Proportional to 3,528.96, 5,289.48 and 1,678.56

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Solution

The fourth proportional to 3,528.96, 5,289.48 and 1,678.56 is: 2,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.96 : 5,289.48 = 1,678.56 : x
  2. Step 2: Convert to fraction form
    3,528.96/5,289.48 = 1,678.56/x
  3. Step 3: Cross multiply
    3,528.96x = 5,289.48 × 1,678.56
  4. Step 4: Simplify right side
    3,528.96x = 8,878,709.55
  5. Step 5: Solve for x
    x = 8,878,709.55/3,528.96
  6. Step 6: Final answer
    x = 2,515.96

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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.