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Finding the Fourth Proportional to 3,158.50, 4,738.14 and 1,403.50

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Solution

The fourth proportional to 3,158.50, 4,738.14 and 1,403.50 is: 2,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.50 : 4,738.14 = 1,403.50 : x
  2. Step 2: Convert to fraction form
    3,158.50/4,738.14 = 1,403.50/x
  3. Step 3: Cross multiply
    3,158.50x = 4,738.14 × 1,403.50
  4. Step 4: Simplify right side
    3,158.50x = 6,649,979.49
  5. Step 5: Solve for x
    x = 6,649,979.49/3,158.50
  6. Step 6: Final answer
    x = 2,105.42

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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.