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Finding the Fourth Proportional to 4,675.30, 6,454.05 and 3,331.78

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Solution

The fourth proportional to 4,675.30, 6,454.05 and 3,331.78 is: 4,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.30 : 6,454.05 = 3,331.78 : x
  2. Step 2: Convert to fraction form
    4,675.30/6,454.05 = 3,331.78/x
  3. Step 3: Cross multiply
    4,675.30x = 6,454.05 × 3,331.78
  4. Step 4: Simplify right side
    4,675.30x = 21,503,474.71
  5. Step 5: Solve for x
    x = 21,503,474.71/4,675.30
  6. Step 6: Final answer
    x = 4,599.38

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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.