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Finding the Fourth Proportional to 5,159, 7,738.68 and 1,696.52

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Solution

The fourth proportional to 5,159, 7,738.68 and 1,696.52 is: 2,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159 : 7,738.68 = 1,696.52 : x
  2. Step 2: Convert to fraction form
    5,159/7,738.68 = 1,696.52/x
  3. Step 3: Cross multiply
    5,159x = 7,738.68 × 1,696.52
  4. Step 4: Simplify right side
    5,159x = 13,128,825.39
  5. Step 5: Solve for x
    x = 13,128,825.39/5,159
  6. Step 6: Final answer
    x = 2,544.84

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