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Finding the Fourth Proportional to 3,505.64, 4,837.20 and 2,328.44

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Solution

The fourth proportional to 3,505.64, 4,837.20 and 2,328.44 is: 3,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.64 : 4,837.20 = 2,328.44 : x
  2. Step 2: Convert to fraction form
    3,505.64/4,837.20 = 2,328.44/x
  3. Step 3: Cross multiply
    3,505.64x = 4,837.20 × 2,328.44
  4. Step 4: Simplify right side
    3,505.64x = 11,263,129.97
  5. Step 5: Solve for x
    x = 11,263,129.97/3,505.64
  6. Step 6: Final answer
    x = 3,212.86

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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.