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Finding the Fourth Proportional to 3,461.42, 5,192.33 and 996.19

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Solution

The fourth proportional to 3,461.42, 5,192.33 and 996.19 is: 1,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.42 : 5,192.33 = 996.19 : x
  2. Step 2: Convert to fraction form
    3,461.42/5,192.33 = 996.19/x
  3. Step 3: Cross multiply
    3,461.42x = 5,192.33 × 996.19
  4. Step 4: Simplify right side
    3,461.42x = 5,172,547.22
  5. Step 5: Solve for x
    x = 5,172,547.22/3,461.42
  6. Step 6: Final answer
    x = 1,494.34

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1.5x scale

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.