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Finding the Fourth Proportional to 5,784.76, 7,982.96 and 3,300.76

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Solution

The fourth proportional to 5,784.76, 7,982.96 and 3,300.76 is: 4,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.76 : 7,982.96 = 3,300.76 : x
  2. Step 2: Convert to fraction form
    5,784.76/7,982.96 = 3,300.76/x
  3. Step 3: Cross multiply
    5,784.76x = 7,982.96 × 3,300.76
  4. Step 4: Simplify right side
    5,784.76x = 26,349,835.05
  5. Step 5: Solve for x
    x = 26,349,835.05/5,784.76
  6. Step 6: Final answer
    x = 4,555.04

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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.