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Finding the Fourth Proportional to 4,816, 7,224.03 and 1,738

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Solution

The fourth proportional to 4,816, 7,224.03 and 1,738 is: 2,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816 : 7,224.03 = 1,738 : x
  2. Step 2: Convert to fraction form
    4,816/7,224.03 = 1,738/x
  3. Step 3: Cross multiply
    4,816x = 7,224.03 × 1,738
  4. Step 4: Simplify right side
    4,816x = 12,555,364.14
  5. Step 5: Solve for x
    x = 12,555,364.14/4,816
  6. Step 6: Final answer
    x = 2,607.01

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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.