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Finding the Fourth Proportional to 4,827.60, 7,230.60 and 2,883.60

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Solution

The fourth proportional to 4,827.60, 7,230.60 and 2,883.60 is: 4,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.60 : 7,230.60 = 2,883.60 : x
  2. Step 2: Convert to fraction form
    4,827.60/7,230.60 = 2,883.60/x
  3. Step 3: Cross multiply
    4,827.60x = 7,230.60 × 2,883.60
  4. Step 4: Simplify right side
    4,827.60x = 20,850,158.16
  5. Step 5: Solve for x
    x = 20,850,158.16/4,827.60
  6. Step 6: Final answer
    x = 4,318.95

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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.