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Finding the Fourth Proportional to 4,807.94, 6,634.96 and 2,712.06

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Solution

The fourth proportional to 4,807.94, 6,634.96 and 2,712.06 is: 3,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.94 : 6,634.96 = 2,712.06 : x
  2. Step 2: Convert to fraction form
    4,807.94/6,634.96 = 2,712.06/x
  3. Step 3: Cross multiply
    4,807.94x = 6,634.96 × 2,712.06
  4. Step 4: Simplify right side
    4,807.94x = 17,994,409.62
  5. Step 5: Solve for x
    x = 17,994,409.62/4,807.94
  6. Step 6: Final answer
    x = 3,742.64

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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.