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Finding the Fourth Proportional to 3,324.40, 4,986.60 and 2,854.60

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Solution

The fourth proportional to 3,324.40, 4,986.60 and 2,854.60 is: 4,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.40 : 4,986.60 = 2,854.60 : x
  2. Step 2: Convert to fraction form
    3,324.40/4,986.60 = 2,854.60/x
  3. Step 3: Cross multiply
    3,324.40x = 4,986.60 × 2,854.60
  4. Step 4: Simplify right side
    3,324.40x = 14,234,748.36
  5. Step 5: Solve for x
    x = 14,234,748.36/3,324.40
  6. Step 6: Final answer
    x = 4,281.90

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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.