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Finding the Fourth Proportional to 4,202.84, 6,295.83 and 2,536.01

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Solution

The fourth proportional to 4,202.84, 6,295.83 and 2,536.01 is: 3,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.84 : 6,295.83 = 2,536.01 : x
  2. Step 2: Convert to fraction form
    4,202.84/6,295.83 = 2,536.01/x
  3. Step 3: Cross multiply
    4,202.84x = 6,295.83 × 2,536.01
  4. Step 4: Simplify right side
    4,202.84x = 15,966,287.84
  5. Step 5: Solve for x
    x = 15,966,287.84/4,202.84
  6. Step 6: Final answer
    x = 3,798.93

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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.