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Finding the Fourth Proportional to 4,245.60, 6,368.40 and 2,513

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Solution

The fourth proportional to 4,245.60, 6,368.40 and 2,513 is: 3,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.60 : 6,368.40 = 2,513 : x
  2. Step 2: Convert to fraction form
    4,245.60/6,368.40 = 2,513/x
  3. Step 3: Cross multiply
    4,245.60x = 6,368.40 × 2,513
  4. Step 4: Simplify right side
    4,245.60x = 16,003,789.20
  5. Step 5: Solve for x
    x = 16,003,789.20/4,245.60
  6. Step 6: Final answer
    x = 3,769.50

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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.