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Finding the Fourth Proportional to 4,878.28, 7,302.84 and 3,319.84

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Solution

The fourth proportional to 4,878.28, 7,302.84 and 3,319.84 is: 4,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.28 : 7,302.84 = 3,319.84 : x
  2. Step 2: Convert to fraction form
    4,878.28/7,302.84 = 3,319.84/x
  3. Step 3: Cross multiply
    4,878.28x = 7,302.84 × 3,319.84
  4. Step 4: Simplify right side
    4,878.28x = 24,244,260.35
  5. Step 5: Solve for x
    x = 24,244,260.35/4,878.28
  6. Step 6: Final answer
    x = 4,969.84

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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.