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Finding the Fourth Proportional to 3,802.84, 5,701.06 and 1,339.27

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Solution

The fourth proportional to 3,802.84, 5,701.06 and 1,339.27 is: 2,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.84 : 5,701.06 = 1,339.27 : x
  2. Step 2: Convert to fraction form
    3,802.84/5,701.06 = 1,339.27/x
  3. Step 3: Cross multiply
    3,802.84x = 5,701.06 × 1,339.27
  4. Step 4: Simplify right side
    3,802.84x = 7,635,258.63
  5. Step 5: Solve for x
    x = 7,635,258.63/3,802.84
  6. Step 6: Final answer
    x = 2,007.78

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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.