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Finding the Fourth Proportional to 4,968.91, 7,454.40 and 2,047.51

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Solution

The fourth proportional to 4,968.91, 7,454.40 and 2,047.51 is: 3,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.91 : 7,454.40 = 2,047.51 : x
  2. Step 2: Convert to fraction form
    4,968.91/7,454.40 = 2,047.51/x
  3. Step 3: Cross multiply
    4,968.91x = 7,454.40 × 2,047.51
  4. Step 4: Simplify right side
    4,968.91x = 15,262,958.54
  5. Step 5: Solve for x
    x = 15,262,958.54/4,968.91
  6. Step 6: Final answer
    x = 3,071.69

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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.