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Finding the Fourth Proportional to 4,805.10, 6,633.63 and 3,321

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Solution

The fourth proportional to 4,805.10, 6,633.63 and 3,321 is: 4,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.10 : 6,633.63 = 3,321 : x
  2. Step 2: Convert to fraction form
    4,805.10/6,633.63 = 3,321/x
  3. Step 3: Cross multiply
    4,805.10x = 6,633.63 × 3,321
  4. Step 4: Simplify right side
    4,805.10x = 22,030,285.23
  5. Step 5: Solve for x
    x = 22,030,285.23/4,805.10
  6. Step 6: Final answer
    x = 4,584.77

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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.