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Finding the Fourth Proportional to 4,758.17, 6,561.94 and 4,085.77

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Solution

The fourth proportional to 4,758.17, 6,561.94 and 4,085.77 is: 5,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.17 : 6,561.94 = 4,085.77 : x
  2. Step 2: Convert to fraction form
    4,758.17/6,561.94 = 4,085.77/x
  3. Step 3: Cross multiply
    4,758.17x = 6,561.94 × 4,085.77
  4. Step 4: Simplify right side
    4,758.17x = 26,810,546.33
  5. Step 5: Solve for x
    x = 26,810,546.33/4,758.17
  6. Step 6: Final answer
    x = 5,634.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.