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Finding the Fourth Proportional to 4,857.76, 7,288.50 and 2,908.84

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Solution

The fourth proportional to 4,857.76, 7,288.50 and 2,908.84 is: 4,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.76 : 7,288.50 = 2,908.84 : x
  2. Step 2: Convert to fraction form
    4,857.76/7,288.50 = 2,908.84/x
  3. Step 3: Cross multiply
    4,857.76x = 7,288.50 × 2,908.84
  4. Step 4: Simplify right side
    4,857.76x = 21,201,080.34
  5. Step 5: Solve for x
    x = 21,201,080.34/4,857.76
  6. Step 6: Final answer
    x = 4,364.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.