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Finding the Fourth Proportional to 4,660.64, 6,985.91 and 2,322.39

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Solution

The fourth proportional to 4,660.64, 6,985.91 and 2,322.39 is: 3,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.64 : 6,985.91 = 2,322.39 : x
  2. Step 2: Convert to fraction form
    4,660.64/6,985.91 = 2,322.39/x
  3. Step 3: Cross multiply
    4,660.64x = 6,985.91 × 2,322.39
  4. Step 4: Simplify right side
    4,660.64x = 16,223,995.91
  5. Step 5: Solve for x
    x = 16,223,995.91/4,660.64
  6. Step 6: Final answer
    x = 3,481.07

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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.