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Finding the Fourth Proportional to 3,662.48, 5,053.38 and 2,170.46

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Solution

The fourth proportional to 3,662.48, 5,053.38 and 2,170.46 is: 2,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.48 : 5,053.38 = 2,170.46 : x
  2. Step 2: Convert to fraction form
    3,662.48/5,053.38 = 2,170.46/x
  3. Step 3: Cross multiply
    3,662.48x = 5,053.38 × 2,170.46
  4. Step 4: Simplify right side
    3,662.48x = 10,968,159.15
  5. Step 5: Solve for x
    x = 10,968,159.15/3,662.48
  6. Step 6: Final answer
    x = 2,994.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.