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Finding the Fourth Proportional to 3,277.64, 4,891.27 and 2,927.31

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Solution

The fourth proportional to 3,277.64, 4,891.27 and 2,927.31 is: 4,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.64 : 4,891.27 = 2,927.31 : x
  2. Step 2: Convert to fraction form
    3,277.64/4,891.27 = 2,927.31/x
  3. Step 3: Cross multiply
    3,277.64x = 4,891.27 × 2,927.31
  4. Step 4: Simplify right side
    3,277.64x = 14,318,263.58
  5. Step 5: Solve for x
    x = 14,318,263.58/3,277.64
  6. Step 6: Final answer
    x = 4,368.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.