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Finding the Fourth Proportional to 3,765.23, 5,646.84 and 1,423.73

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Solution

The fourth proportional to 3,765.23, 5,646.84 and 1,423.73 is: 2,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.23 : 5,646.84 = 1,423.73 : x
  2. Step 2: Convert to fraction form
    3,765.23/5,646.84 = 1,423.73/x
  3. Step 3: Cross multiply
    3,765.23x = 5,646.84 × 1,423.73
  4. Step 4: Simplify right side
    3,765.23x = 8,039,575.51
  5. Step 5: Solve for x
    x = 8,039,575.51/3,765.23
  6. Step 6: Final answer
    x = 2,135.21

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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.