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Finding the Fourth Proportional to 4,866.47, 7,300.28 and 2,268.80

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Solution

The fourth proportional to 4,866.47, 7,300.28 and 2,268.80 is: 3,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.47 : 7,300.28 = 2,268.80 : x
  2. Step 2: Convert to fraction form
    4,866.47/7,300.28 = 2,268.80/x
  3. Step 3: Cross multiply
    4,866.47x = 7,300.28 × 2,268.80
  4. Step 4: Simplify right side
    4,866.47x = 16,562,844.43
  5. Step 5: Solve for x
    x = 16,562,844.43/4,866.47
  6. Step 6: Final answer
    x = 3,403.47

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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.