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Finding the Fourth Proportional to 4,321.77, 5,964.12 and 2,458.77

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Solution

The fourth proportional to 4,321.77, 5,964.12 and 2,458.77 is: 3,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.77 : 5,964.12 = 2,458.77 : x
  2. Step 2: Convert to fraction form
    4,321.77/5,964.12 = 2,458.77/x
  3. Step 3: Cross multiply
    4,321.77x = 5,964.12 × 2,458.77
  4. Step 4: Simplify right side
    4,321.77x = 14,664,399.33
  5. Step 5: Solve for x
    x = 14,664,399.33/4,321.77
  6. Step 6: Final answer
    x = 3,393.15

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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.