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Finding the Fourth Proportional to 4,868.92, 7,300.14 and 2,678.68

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Solution

The fourth proportional to 4,868.92, 7,300.14 and 2,678.68 is: 4,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.92 : 7,300.14 = 2,678.68 : x
  2. Step 2: Convert to fraction form
    4,868.92/7,300.14 = 2,678.68/x
  3. Step 3: Cross multiply
    4,868.92x = 7,300.14 × 2,678.68
  4. Step 4: Simplify right side
    4,868.92x = 19,554,739.02
  5. Step 5: Solve for x
    x = 19,554,739.02/4,868.92
  6. Step 6: Final answer
    x = 4,016.24

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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.