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Finding the Fourth Proportional to 3,310.64, 4,964.06 and 2,559.88

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Solution

The fourth proportional to 3,310.64, 4,964.06 and 2,559.88 is: 3,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.64 : 4,964.06 = 2,559.88 : x
  2. Step 2: Convert to fraction form
    3,310.64/4,964.06 = 2,559.88/x
  3. Step 3: Cross multiply
    3,310.64x = 4,964.06 × 2,559.88
  4. Step 4: Simplify right side
    3,310.64x = 12,707,397.91
  5. Step 5: Solve for x
    x = 12,707,397.91/3,310.64
  6. Step 6: Final answer
    x = 3,838.35

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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.