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Finding the Fourth Proportional to 4,388.36, 6,582.54 and 1,922

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Solution

The fourth proportional to 4,388.36, 6,582.54 and 1,922 is: 2,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.36 : 6,582.54 = 1,922 : x
  2. Step 2: Convert to fraction form
    4,388.36/6,582.54 = 1,922/x
  3. Step 3: Cross multiply
    4,388.36x = 6,582.54 × 1,922
  4. Step 4: Simplify right side
    4,388.36x = 12,651,641.88
  5. Step 5: Solve for x
    x = 12,651,641.88/4,388.36
  6. Step 6: Final answer
    x = 2,883.00

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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.