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Finding the Fourth Proportional to 3,486.39, 4,811.21 and 1,914.51

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Solution

The fourth proportional to 3,486.39, 4,811.21 and 1,914.51 is: 2,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.39 : 4,811.21 = 1,914.51 : x
  2. Step 2: Convert to fraction form
    3,486.39/4,811.21 = 1,914.51/x
  3. Step 3: Cross multiply
    3,486.39x = 4,811.21 × 1,914.51
  4. Step 4: Simplify right side
    3,486.39x = 9,211,100.08
  5. Step 5: Solve for x
    x = 9,211,100.08/3,486.39
  6. Step 6: Final answer
    x = 2,642.02

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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.