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Finding the Fourth Proportional to 5,633.64, 8,452.70 and 3,783.40

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Solution

The fourth proportional to 5,633.64, 8,452.70 and 3,783.40 is: 5,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.64 : 8,452.70 = 3,783.40 : x
  2. Step 2: Convert to fraction form
    5,633.64/8,452.70 = 3,783.40/x
  3. Step 3: Cross multiply
    5,633.64x = 8,452.70 × 3,783.40
  4. Step 4: Simplify right side
    5,633.64x = 31,979,945.18
  5. Step 5: Solve for x
    x = 31,979,945.18/5,633.64
  6. Step 6: Final answer
    x = 5,676.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.