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Finding the Fourth Proportional to 4,894.56, 7,342.23 and 1,563.27

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Solution

The fourth proportional to 4,894.56, 7,342.23 and 1,563.27 is: 2,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.56 : 7,342.23 = 1,563.27 : x
  2. Step 2: Convert to fraction form
    4,894.56/7,342.23 = 1,563.27/x
  3. Step 3: Cross multiply
    4,894.56x = 7,342.23 × 1,563.27
  4. Step 4: Simplify right side
    4,894.56x = 11,477,887.89
  5. Step 5: Solve for x
    x = 11,477,887.89/4,894.56
  6. Step 6: Final answer
    x = 2,345.03

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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.