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Finding the Fourth Proportional to 3,443.42, 5,165.15 and 846.35

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Solution

The fourth proportional to 3,443.42, 5,165.15 and 846.35 is: 1,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.42 : 5,165.15 = 846.35 : x
  2. Step 2: Convert to fraction form
    3,443.42/5,165.15 = 846.35/x
  3. Step 3: Cross multiply
    3,443.42x = 5,165.15 × 846.35
  4. Step 4: Simplify right side
    3,443.42x = 4,371,494.65
  5. Step 5: Solve for x
    x = 4,371,494.65/3,443.42
  6. Step 6: Final answer
    x = 1,269.52

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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.