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Finding the Fourth Proportional to 3,623.84, 5,431.44 and 1,671.84

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Solution

The fourth proportional to 3,623.84, 5,431.44 and 1,671.84 is: 2,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.84 : 5,431.44 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    3,623.84/5,431.44 = 1,671.84/x
  3. Step 3: Cross multiply
    3,623.84x = 5,431.44 × 1,671.84
  4. Step 4: Simplify right side
    3,623.84x = 9,080,498.65
  5. Step 5: Solve for x
    x = 9,080,498.65/3,623.84
  6. Step 6: Final answer
    x = 2,505.77

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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.