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Finding the Fourth Proportional to 3,453.68, 4,732.86 and 3,121.52

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Solution

The fourth proportional to 3,453.68, 4,732.86 and 3,121.52 is: 4,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.68 : 4,732.86 = 3,121.52 : x
  2. Step 2: Convert to fraction form
    3,453.68/4,732.86 = 3,121.52/x
  3. Step 3: Cross multiply
    3,453.68x = 4,732.86 × 3,121.52
  4. Step 4: Simplify right side
    3,453.68x = 14,773,693.48
  5. Step 5: Solve for x
    x = 14,773,693.48/3,453.68
  6. Step 6: Final answer
    x = 4,277.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.