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Finding the Fourth Proportional to 4,281.60, 6,429.60 and 2,827.20

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Solution

The fourth proportional to 4,281.60, 6,429.60 and 2,827.20 is: 4,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.60 : 6,429.60 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    4,281.60/6,429.60 = 2,827.20/x
  3. Step 3: Cross multiply
    4,281.60x = 6,429.60 × 2,827.20
  4. Step 4: Simplify right side
    4,281.60x = 18,177,765.12
  5. Step 5: Solve for x
    x = 18,177,765.12/4,281.60
  6. Step 6: Final answer
    x = 4,245.55

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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.