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Finding the Fourth Proportional to 3,463.91, 5,196.75 and 998.92

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Solution

The fourth proportional to 3,463.91, 5,196.75 and 998.92 is: 1,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.91 : 5,196.75 = 998.92 : x
  2. Step 2: Convert to fraction form
    3,463.91/5,196.75 = 998.92/x
  3. Step 3: Cross multiply
    3,463.91x = 5,196.75 × 998.92
  4. Step 4: Simplify right side
    3,463.91x = 5,191,137.51
  5. Step 5: Solve for x
    x = 5,191,137.51/3,463.91
  6. Step 6: Final answer
    x = 1,498.64

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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.