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Finding the Fourth Proportional to 5,784.64, 7,983.04 and 4,106.64

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Solution

The fourth proportional to 5,784.64, 7,983.04 and 4,106.64 is: 5,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.64 : 7,983.04 = 4,106.64 : x
  2. Step 2: Convert to fraction form
    5,784.64/7,983.04 = 4,106.64/x
  3. Step 3: Cross multiply
    5,784.64x = 7,983.04 × 4,106.64
  4. Step 4: Simplify right side
    5,784.64x = 32,783,471.39
  5. Step 5: Solve for x
    x = 32,783,471.39/5,784.64
  6. Step 6: Final answer
    x = 5,667.33

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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.