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Finding the Fourth Proportional to 4,517.88, 6,776.82 and 1,596

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Solution

The fourth proportional to 4,517.88, 6,776.82 and 1,596 is: 2,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.88 : 6,776.82 = 1,596 : x
  2. Step 2: Convert to fraction form
    4,517.88/6,776.82 = 1,596/x
  3. Step 3: Cross multiply
    4,517.88x = 6,776.82 × 1,596
  4. Step 4: Simplify right side
    4,517.88x = 10,815,804.72
  5. Step 5: Solve for x
    x = 10,815,804.72/4,517.88
  6. Step 6: Final answer
    x = 2,394.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.