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Finding the Fourth Proportional to 5,201.38, 7,802.07 and 1,738.63

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Solution

The fourth proportional to 5,201.38, 7,802.07 and 1,738.63 is: 2,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.38 : 7,802.07 = 1,738.63 : x
  2. Step 2: Convert to fraction form
    5,201.38/7,802.07 = 1,738.63/x
  3. Step 3: Cross multiply
    5,201.38x = 7,802.07 × 1,738.63
  4. Step 4: Simplify right side
    5,201.38x = 13,564,865.26
  5. Step 5: Solve for x
    x = 13,564,865.26/5,201.38
  6. Step 6: Final answer
    x = 2,607.94

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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.