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Finding the Fourth Proportional to 4,932.95, 6,811.59 and 4,576.80

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Solution

The fourth proportional to 4,932.95, 6,811.59 and 4,576.80 is: 6,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.95 : 6,811.59 = 4,576.80 : x
  2. Step 2: Convert to fraction form
    4,932.95/6,811.59 = 4,576.80/x
  3. Step 3: Cross multiply
    4,932.95x = 6,811.59 × 4,576.80
  4. Step 4: Simplify right side
    4,932.95x = 31,175,327.82
  5. Step 5: Solve for x
    x = 31,175,327.82/4,932.95
  6. Step 6: Final answer
    x = 6,319.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.