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Finding the Fourth Proportional to 3,135.23, 4,703.87 and 1,055.43

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Solution

The fourth proportional to 3,135.23, 4,703.87 and 1,055.43 is: 1,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.23 : 4,703.87 = 1,055.43 : x
  2. Step 2: Convert to fraction form
    3,135.23/4,703.87 = 1,055.43/x
  3. Step 3: Cross multiply
    3,135.23x = 4,703.87 × 1,055.43
  4. Step 4: Simplify right side
    3,135.23x = 4,964,608.15
  5. Step 5: Solve for x
    x = 4,964,608.15/3,135.23
  6. Step 6: Final answer
    x = 1,583.49

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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.