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Finding the Fourth Proportional to 5,132, 7,698.36 and 2,054

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Solution

The fourth proportional to 5,132, 7,698.36 and 2,054 is: 3,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132 : 7,698.36 = 2,054 : x
  2. Step 2: Convert to fraction form
    5,132/7,698.36 = 2,054/x
  3. Step 3: Cross multiply
    5,132x = 7,698.36 × 2,054
  4. Step 4: Simplify right side
    5,132x = 15,812,431.44
  5. Step 5: Solve for x
    x = 15,812,431.44/5,132
  6. Step 6: Final answer
    x = 3,081.14

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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.