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Finding the Fourth Proportional to 4,723.95, 7,085.76 and 2,536.95

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Solution

The fourth proportional to 4,723.95, 7,085.76 and 2,536.95 is: 3,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.95 : 7,085.76 = 2,536.95 : x
  2. Step 2: Convert to fraction form
    4,723.95/7,085.76 = 2,536.95/x
  3. Step 3: Cross multiply
    4,723.95x = 7,085.76 × 2,536.95
  4. Step 4: Simplify right side
    4,723.95x = 17,976,218.83
  5. Step 5: Solve for x
    x = 17,976,218.83/4,723.95
  6. Step 6: Final answer
    x = 3,805.34

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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.