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Finding the Fourth Proportional to 4,236.25, 6,353.87 and 1,116.50

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Solution

The fourth proportional to 4,236.25, 6,353.87 and 1,116.50 is: 1,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.25 : 6,353.87 = 1,116.50 : x
  2. Step 2: Convert to fraction form
    4,236.25/6,353.87 = 1,116.50/x
  3. Step 3: Cross multiply
    4,236.25x = 6,353.87 × 1,116.50
  4. Step 4: Simplify right side
    4,236.25x = 7,094,095.86
  5. Step 5: Solve for x
    x = 7,094,095.86/4,236.25
  6. Step 6: Final answer
    x = 1,674.62

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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.