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Finding the Fourth Proportional to 3,709.82, 5,563.82 and 1,077.32

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Solution

The fourth proportional to 3,709.82, 5,563.82 and 1,077.32 is: 1,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.82 : 5,563.82 = 1,077.32 : x
  2. Step 2: Convert to fraction form
    3,709.82/5,563.82 = 1,077.32/x
  3. Step 3: Cross multiply
    3,709.82x = 5,563.82 × 1,077.32
  4. Step 4: Simplify right side
    3,709.82x = 5,994,031.17
  5. Step 5: Solve for x
    x = 5,994,031.17/3,709.82
  6. Step 6: Final answer
    x = 1,615.72

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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.