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Finding the Fourth Proportional to 3,973.49, 5,961.80 and 1,508.96

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Solution

The fourth proportional to 3,973.49, 5,961.80 and 1,508.96 is: 2,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.49 : 5,961.80 = 1,508.96 : x
  2. Step 2: Convert to fraction form
    3,973.49/5,961.80 = 1,508.96/x
  3. Step 3: Cross multiply
    3,973.49x = 5,961.80 × 1,508.96
  4. Step 4: Simplify right side
    3,973.49x = 8,996,080.37
  5. Step 5: Solve for x
    x = 8,996,080.37/3,973.49
  6. Step 6: Final answer
    x = 2,264.03

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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.