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Finding the Fourth Proportional to 4,663.80, 6,995.70 and 1,376.64

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Solution

The fourth proportional to 4,663.80, 6,995.70 and 1,376.64 is: 2,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.80 : 6,995.70 = 1,376.64 : x
  2. Step 2: Convert to fraction form
    4,663.80/6,995.70 = 1,376.64/x
  3. Step 3: Cross multiply
    4,663.80x = 6,995.70 × 1,376.64
  4. Step 4: Simplify right side
    4,663.80x = 9,630,560.45
  5. Step 5: Solve for x
    x = 9,630,560.45/4,663.80
  6. Step 6: Final answer
    x = 2,064.96

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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.