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Finding the Fourth Proportional to 3,357.66, 5,029.76 and 1,604.36

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Solution

The fourth proportional to 3,357.66, 5,029.76 and 1,604.36 is: 2,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.66 : 5,029.76 = 1,604.36 : x
  2. Step 2: Convert to fraction form
    3,357.66/5,029.76 = 1,604.36/x
  3. Step 3: Cross multiply
    3,357.66x = 5,029.76 × 1,604.36
  4. Step 4: Simplify right side
    3,357.66x = 8,069,512.58
  5. Step 5: Solve for x
    x = 8,069,512.58/3,357.66
  6. Step 6: Final answer
    x = 2,403.31

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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.