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Finding the Fourth Proportional to 3,511.92, 4,844.96 and 2,464.64

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Solution

The fourth proportional to 3,511.92, 4,844.96 and 2,464.64 is: 3,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.92 : 4,844.96 = 2,464.64 : x
  2. Step 2: Convert to fraction form
    3,511.92/4,844.96 = 2,464.64/x
  3. Step 3: Cross multiply
    3,511.92x = 4,844.96 × 2,464.64
  4. Step 4: Simplify right side
    3,511.92x = 11,941,082.21
  5. Step 5: Solve for x
    x = 11,941,082.21/3,511.92
  6. Step 6: Final answer
    x = 3,400.16

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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.