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Finding the Fourth Proportional to 3,616.84, 5,421.08 and 1,664.94

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Solution

The fourth proportional to 3,616.84, 5,421.08 and 1,664.94 is: 2,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.84 : 5,421.08 = 1,664.94 : x
  2. Step 2: Convert to fraction form
    3,616.84/5,421.08 = 1,664.94/x
  3. Step 3: Cross multiply
    3,616.84x = 5,421.08 × 1,664.94
  4. Step 4: Simplify right side
    3,616.84x = 9,025,764.61
  5. Step 5: Solve for x
    x = 9,025,764.61/3,616.84
  6. Step 6: Final answer
    x = 2,495.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.