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Finding the Fourth Proportional to 5,784.44, 8,678.28 and 2,324.12

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Solution

The fourth proportional to 5,784.44, 8,678.28 and 2,324.12 is: 3,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.44 : 8,678.28 = 2,324.12 : x
  2. Step 2: Convert to fraction form
    5,784.44/8,678.28 = 2,324.12/x
  3. Step 3: Cross multiply
    5,784.44x = 8,678.28 × 2,324.12
  4. Step 4: Simplify right side
    5,784.44x = 20,169,364.11
  5. Step 5: Solve for x
    x = 20,169,364.11/5,784.44
  6. Step 6: Final answer
    x = 3,486.83

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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.