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Finding the Fourth Proportional to 4,184.66, 5,762.00 and 4,092.39

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Solution

The fourth proportional to 4,184.66, 5,762.00 and 4,092.39 is: 5,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.66 : 5,762.00 = 4,092.39 : x
  2. Step 2: Convert to fraction form
    4,184.66/5,762.00 = 4,092.39/x
  3. Step 3: Cross multiply
    4,184.66x = 5,762.00 × 4,092.39
  4. Step 4: Simplify right side
    4,184.66x = 23,580,361.41
  5. Step 5: Solve for x
    x = 23,580,361.41/4,184.66
  6. Step 6: Final answer
    x = 5,634.95

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Half scale
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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.