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Finding the Fourth Proportional to 4,402.64, 6,601.73 and 1,936.40

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Solution

The fourth proportional to 4,402.64, 6,601.73 and 1,936.40 is: 2,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.64 : 6,601.73 = 1,936.40 : x
  2. Step 2: Convert to fraction form
    4,402.64/6,601.73 = 1,936.40/x
  3. Step 3: Cross multiply
    4,402.64x = 6,601.73 × 1,936.40
  4. Step 4: Simplify right side
    4,402.64x = 12,783,547.28
  5. Step 5: Solve for x
    x = 12,783,547.28/4,402.64
  6. Step 6: Final answer
    x = 2,903.61

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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.