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Finding the Fourth Proportional to 3,486.20, 4,810.94 and 1,914.26

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Solution

The fourth proportional to 3,486.20, 4,810.94 and 1,914.26 is: 2,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.20 : 4,810.94 = 1,914.26 : x
  2. Step 2: Convert to fraction form
    3,486.20/4,810.94 = 1,914.26/x
  3. Step 3: Cross multiply
    3,486.20x = 4,810.94 × 1,914.26
  4. Step 4: Simplify right side
    3,486.20x = 9,209,356.38
  5. Step 5: Solve for x
    x = 9,209,356.38/3,486.20
  6. Step 6: Final answer
    x = 2,641.66

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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.