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Finding the Fourth Proportional to 3,713.76, 5,109.84 and 3,214.80

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Solution

The fourth proportional to 3,713.76, 5,109.84 and 3,214.80 is: 4,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.76 : 5,109.84 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    3,713.76/5,109.84 = 3,214.80/x
  3. Step 3: Cross multiply
    3,713.76x = 5,109.84 × 3,214.80
  4. Step 4: Simplify right side
    3,713.76x = 16,427,113.63
  5. Step 5: Solve for x
    x = 16,427,113.63/3,713.76
  6. Step 6: Final answer
    x = 4,423.31

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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.