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Finding the Fourth Proportional to 3,973.32, 5,483.34 and 2,180.86

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Solution

The fourth proportional to 3,973.32, 5,483.34 and 2,180.86 is: 3,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.32 : 5,483.34 = 2,180.86 : x
  2. Step 2: Convert to fraction form
    3,973.32/5,483.34 = 2,180.86/x
  3. Step 3: Cross multiply
    3,973.32x = 5,483.34 × 2,180.86
  4. Step 4: Simplify right side
    3,973.32x = 11,958,385.97
  5. Step 5: Solve for x
    x = 11,958,385.97/3,973.32
  6. Step 6: Final answer
    x = 3,009.67

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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.