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Finding the Fourth Proportional to 4,803.62, 6,630.47 and 2,814.82

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Solution

The fourth proportional to 4,803.62, 6,630.47 and 2,814.82 is: 3,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.62 : 6,630.47 = 2,814.82 : x
  2. Step 2: Convert to fraction form
    4,803.62/6,630.47 = 2,814.82/x
  3. Step 3: Cross multiply
    4,803.62x = 6,630.47 × 2,814.82
  4. Step 4: Simplify right side
    4,803.62x = 18,663,559.47
  5. Step 5: Solve for x
    x = 18,663,559.47/4,803.62
  6. Step 6: Final answer
    x = 3,885.32

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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.