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Finding the Fourth Proportional to 4,439.34, 6,646.05 and 3,506.22

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Solution

The fourth proportional to 4,439.34, 6,646.05 and 3,506.22 is: 5,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439.34 : 6,646.05 = 3,506.22 : x
  2. Step 2: Convert to fraction form
    4,439.34/6,646.05 = 3,506.22/x
  3. Step 3: Cross multiply
    4,439.34x = 6,646.05 × 3,506.22
  4. Step 4: Simplify right side
    4,439.34x = 23,302,513.43
  5. Step 5: Solve for x
    x = 23,302,513.43/4,439.34
  6. Step 6: Final answer
    x = 5,249.09

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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.