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Finding the Fourth Proportional to 4,901.82, 6,759.86 and 3,780.98

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Solution

The fourth proportional to 4,901.82, 6,759.86 and 3,780.98 is: 5,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.82 : 6,759.86 = 3,780.98 : x
  2. Step 2: Convert to fraction form
    4,901.82/6,759.86 = 3,780.98/x
  3. Step 3: Cross multiply
    4,901.82x = 6,759.86 × 3,780.98
  4. Step 4: Simplify right side
    4,901.82x = 25,558,868.11
  5. Step 5: Solve for x
    x = 25,558,868.11/4,901.82
  6. Step 6: Final answer
    x = 5,214.16

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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.