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Finding the Fourth Proportional to 4,992.60, 7,486.20 and 2,071.20

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Solution

The fourth proportional to 4,992.60, 7,486.20 and 2,071.20 is: 3,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.60 : 7,486.20 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    4,992.60/7,486.20 = 2,071.20/x
  3. Step 3: Cross multiply
    4,992.60x = 7,486.20 × 2,071.20
  4. Step 4: Simplify right side
    4,992.60x = 15,505,417.44
  5. Step 5: Solve for x
    x = 15,505,417.44/4,992.60
  6. Step 6: Final answer
    x = 3,105.68

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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.