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Finding the Fourth Proportional to 4,184.40, 5,774.22 and 2,321.40

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Solution

The fourth proportional to 4,184.40, 5,774.22 and 2,321.40 is: 3,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.40 : 5,774.22 = 2,321.40 : x
  2. Step 2: Convert to fraction form
    4,184.40/5,774.22 = 2,321.40/x
  3. Step 3: Cross multiply
    4,184.40x = 5,774.22 × 2,321.40
  4. Step 4: Simplify right side
    4,184.40x = 13,404,274.31
  5. Step 5: Solve for x
    x = 13,404,274.31/4,184.40
  6. Step 6: Final answer
    x = 3,203.39

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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.