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Finding the Fourth Proportional to 4,243.36, 6,364.04 and 1,281.20

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Solution

The fourth proportional to 4,243.36, 6,364.04 and 1,281.20 is: 1,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.36 : 6,364.04 = 1,281.20 : x
  2. Step 2: Convert to fraction form
    4,243.36/6,364.04 = 1,281.20/x
  3. Step 3: Cross multiply
    4,243.36x = 6,364.04 × 1,281.20
  4. Step 4: Simplify right side
    4,243.36x = 8,153,608.05
  5. Step 5: Solve for x
    x = 8,153,608.05/4,243.36
  6. Step 6: Final answer
    x = 1,921.50

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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.