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Finding the Fourth Proportional to 4,901.81, 6,761.76 and 3,012.08

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Solution

The fourth proportional to 4,901.81, 6,761.76 and 3,012.08 is: 4,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.81 : 6,761.76 = 3,012.08 : x
  2. Step 2: Convert to fraction form
    4,901.81/6,761.76 = 3,012.08/x
  3. Step 3: Cross multiply
    4,901.81x = 6,761.76 × 3,012.08
  4. Step 4: Simplify right side
    4,901.81x = 20,366,962.06
  5. Step 5: Solve for x
    x = 20,366,962.06/4,901.81
  6. Step 6: Final answer
    x = 4,154.99

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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.