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Finding the Fourth Proportional to 5,964.32, 8,966.80 and 4,876.64

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Solution

The fourth proportional to 5,964.32, 8,966.80 and 4,876.64 is: 7,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.32 : 8,966.80 = 4,876.64 : x
  2. Step 2: Convert to fraction form
    5,964.32/8,966.80 = 4,876.64/x
  3. Step 3: Cross multiply
    5,964.32x = 8,966.80 × 4,876.64
  4. Step 4: Simplify right side
    5,964.32x = 43,727,855.55
  5. Step 5: Solve for x
    x = 43,727,855.55/5,964.32
  6. Step 6: Final answer
    x = 7,331.57

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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.