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Finding the Fourth Proportional to 4,007.64, 6,007.80 and 2,706.39

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Solution

The fourth proportional to 4,007.64, 6,007.80 and 2,706.39 is: 4,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.64 : 6,007.80 = 2,706.39 : x
  2. Step 2: Convert to fraction form
    4,007.64/6,007.80 = 2,706.39/x
  3. Step 3: Cross multiply
    4,007.64x = 6,007.80 × 2,706.39
  4. Step 4: Simplify right side
    4,007.64x = 16,259,449.84
  5. Step 5: Solve for x
    x = 16,259,449.84/4,007.64
  6. Step 6: Final answer
    x = 4,057.11

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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.