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Finding the Fourth Proportional to 4,724.63, 7,085.43 and 1,561.48

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Solution

The fourth proportional to 4,724.63, 7,085.43 and 1,561.48 is: 2,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.63 : 7,085.43 = 1,561.48 : x
  2. Step 2: Convert to fraction form
    4,724.63/7,085.43 = 1,561.48/x
  3. Step 3: Cross multiply
    4,724.63x = 7,085.43 × 1,561.48
  4. Step 4: Simplify right side
    4,724.63x = 11,063,729.56
  5. Step 5: Solve for x
    x = 11,063,729.56/4,724.63
  6. Step 6: Final answer
    x = 2,341.71

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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.