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Finding the Fourth Proportional to 4,294.84, 6,436.94 and 1,827.64

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Solution

The fourth proportional to 4,294.84, 6,436.94 and 1,827.64 is: 2,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.84 : 6,436.94 = 1,827.64 : x
  2. Step 2: Convert to fraction form
    4,294.84/6,436.94 = 1,827.64/x
  3. Step 3: Cross multiply
    4,294.84x = 6,436.94 × 1,827.64
  4. Step 4: Simplify right side
    4,294.84x = 11,764,409.02
  5. Step 5: Solve for x
    x = 11,764,409.02/4,294.84
  6. Step 6: Final answer
    x = 2,739.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.