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Finding the Fourth Proportional to 4,649.22, 6,975.45 and 1,728.36

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Solution

The fourth proportional to 4,649.22, 6,975.45 and 1,728.36 is: 2,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.22 : 6,975.45 = 1,728.36 : x
  2. Step 2: Convert to fraction form
    4,649.22/6,975.45 = 1,728.36/x
  3. Step 3: Cross multiply
    4,649.22x = 6,975.45 × 1,728.36
  4. Step 4: Simplify right side
    4,649.22x = 12,056,088.76
  5. Step 5: Solve for x
    x = 12,056,088.76/4,649.22
  6. Step 6: Final answer
    x = 2,593.14

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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.