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Finding the Fourth Proportional to 4,194.99, 5,784.21 and 3,487.66

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Solution

The fourth proportional to 4,194.99, 5,784.21 and 3,487.66 is: 4,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.99 : 5,784.21 = 3,487.66 : x
  2. Step 2: Convert to fraction form
    4,194.99/5,784.21 = 3,487.66/x
  3. Step 3: Cross multiply
    4,194.99x = 5,784.21 × 3,487.66
  4. Step 4: Simplify right side
    4,194.99x = 20,173,343.39
  5. Step 5: Solve for x
    x = 20,173,343.39/4,194.99
  6. Step 6: Final answer
    x = 4,808.91

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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.