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Finding the Fourth Proportional to 4,783.36, 6,591.36 and 3,102.88

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Solution

The fourth proportional to 4,783.36, 6,591.36 and 3,102.88 is: 4,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.36 : 6,591.36 = 3,102.88 : x
  2. Step 2: Convert to fraction form
    4,783.36/6,591.36 = 3,102.88/x
  3. Step 3: Cross multiply
    4,783.36x = 6,591.36 × 3,102.88
  4. Step 4: Simplify right side
    4,783.36x = 20,452,199.12
  5. Step 5: Solve for x
    x = 20,452,199.12/4,783.36
  6. Step 6: Final answer
    x = 4,275.70

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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.