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Finding the Fourth Proportional to 4,866.40, 7,297.80 and 1,579.60

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Solution

The fourth proportional to 4,866.40, 7,297.80 and 1,579.60 is: 2,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.40 : 7,297.80 = 1,579.60 : x
  2. Step 2: Convert to fraction form
    4,866.40/7,297.80 = 1,579.60/x
  3. Step 3: Cross multiply
    4,866.40x = 7,297.80 × 1,579.60
  4. Step 4: Simplify right side
    4,866.40x = 11,527,604.88
  5. Step 5: Solve for x
    x = 11,527,604.88/4,866.40
  6. Step 6: Final answer
    x = 2,368.82

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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.