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Finding the Fourth Proportional to 4,232.79, 6,349.19 and 1,636.34

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Solution

The fourth proportional to 4,232.79, 6,349.19 and 1,636.34 is: 2,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.79 : 6,349.19 = 1,636.34 : x
  2. Step 2: Convert to fraction form
    4,232.79/6,349.19 = 1,636.34/x
  3. Step 3: Cross multiply
    4,232.79x = 6,349.19 × 1,636.34
  4. Step 4: Simplify right side
    4,232.79x = 10,389,393.64
  5. Step 5: Solve for x
    x = 10,389,393.64/4,232.79
  6. Step 6: Final answer
    x = 2,454.50

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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.