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Finding the Fourth Proportional to 3,063.73, 4,596.42 and 1,421.47

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Solution

The fourth proportional to 3,063.73, 4,596.42 and 1,421.47 is: 2,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.73 : 4,596.42 = 1,421.47 : x
  2. Step 2: Convert to fraction form
    3,063.73/4,596.42 = 1,421.47/x
  3. Step 3: Cross multiply
    3,063.73x = 4,596.42 × 1,421.47
  4. Step 4: Simplify right side
    3,063.73x = 6,533,673.14
  5. Step 5: Solve for x
    x = 6,533,673.14/3,063.73
  6. Step 6: Final answer
    x = 2,132.59

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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.