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Finding the Fourth Proportional to 4,773.92, 6,585.26 and 2,784.26

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Solution

The fourth proportional to 4,773.92, 6,585.26 and 2,784.26 is: 3,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.92 : 6,585.26 = 2,784.26 : x
  2. Step 2: Convert to fraction form
    4,773.92/6,585.26 = 2,784.26/x
  3. Step 3: Cross multiply
    4,773.92x = 6,585.26 × 2,784.26
  4. Step 4: Simplify right side
    4,773.92x = 18,335,076.01
  5. Step 5: Solve for x
    x = 18,335,076.01/4,773.92
  6. Step 6: Final answer
    x = 3,840.68

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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.