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Finding the Fourth Proportional to 3,464.33, 5,196.73 and 999.17

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Solution

The fourth proportional to 3,464.33, 5,196.73 and 999.17 is: 1,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.33 : 5,196.73 = 999.17 : x
  2. Step 2: Convert to fraction form
    3,464.33/5,196.73 = 999.17/x
  3. Step 3: Cross multiply
    3,464.33x = 5,196.73 × 999.17
  4. Step 4: Simplify right side
    3,464.33x = 5,192,416.71
  5. Step 5: Solve for x
    x = 5,192,416.71/3,464.33
  6. Step 6: Final answer
    x = 1,498.82

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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.