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Finding the Fourth Proportional to 3,486, 4,810.64 and 1,914.08

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Solution

The fourth proportional to 3,486, 4,810.64 and 1,914.08 is: 2,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 4,810.64 = 1,914.08 : x
  2. Step 2: Convert to fraction form
    3,486/4,810.64 = 1,914.08/x
  3. Step 3: Cross multiply
    3,486x = 4,810.64 × 1,914.08
  4. Step 4: Simplify right side
    3,486x = 9,207,949.81
  5. Step 5: Solve for x
    x = 9,207,949.81/3,486
  6. Step 6: Final answer
    x = 2,641.41

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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.