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Finding the Fourth Proportional to 3,596.74, 4,957.64 and 2,711.00

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Solution

The fourth proportional to 3,596.74, 4,957.64 and 2,711.00 is: 3,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.74 : 4,957.64 = 2,711.00 : x
  2. Step 2: Convert to fraction form
    3,596.74/4,957.64 = 2,711.00/x
  3. Step 3: Cross multiply
    3,596.74x = 4,957.64 × 2,711.00
  4. Step 4: Simplify right side
    3,596.74x = 13,440,171.05
  5. Step 5: Solve for x
    x = 13,440,171.05/3,596.74
  6. Step 6: Final answer
    x = 3,736.77

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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.