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Finding the Fourth Proportional to 3,486.58, 5,229.41 and 1,295.01

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Solution

The fourth proportional to 3,486.58, 5,229.41 and 1,295.01 is: 1,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.58 : 5,229.41 = 1,295.01 : x
  2. Step 2: Convert to fraction form
    3,486.58/5,229.41 = 1,295.01/x
  3. Step 3: Cross multiply
    3,486.58x = 5,229.41 × 1,295.01
  4. Step 4: Simplify right side
    3,486.58x = 6,772,131.77
  5. Step 5: Solve for x
    x = 6,772,131.77/3,486.58
  6. Step 6: Final answer
    x = 1,942.34

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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.