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Finding the Fourth Proportional to 3,486.79, 4,811.86 and 1,914.92

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Solution

The fourth proportional to 3,486.79, 4,811.86 and 1,914.92 is: 2,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.79 : 4,811.86 = 1,914.92 : x
  2. Step 2: Convert to fraction form
    3,486.79/4,811.86 = 1,914.92/x
  3. Step 3: Cross multiply
    3,486.79x = 4,811.86 × 1,914.92
  4. Step 4: Simplify right side
    3,486.79x = 9,214,312.56
  5. Step 5: Solve for x
    x = 9,214,312.56/3,486.79
  6. Step 6: Final answer
    x = 2,642.63

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1.5x scale

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.