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Finding the Fourth Proportional to 4,807.66, 6,634.56 and 2,711.77

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Solution

The fourth proportional to 4,807.66, 6,634.56 and 2,711.77 is: 3,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.66 : 6,634.56 = 2,711.77 : x
  2. Step 2: Convert to fraction form
    4,807.66/6,634.56 = 2,711.77/x
  3. Step 3: Cross multiply
    4,807.66x = 6,634.56 × 2,711.77
  4. Step 4: Simplify right side
    4,807.66x = 17,991,400.77
  5. Step 5: Solve for x
    x = 17,991,400.77/4,807.66
  6. Step 6: Final answer
    x = 3,742.24

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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.