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Finding the Fourth Proportional to 4,472.76, 6,173.12 and 2,878.96

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Solution

The fourth proportional to 4,472.76, 6,173.12 and 2,878.96 is: 3,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.76 : 6,173.12 = 2,878.96 : x
  2. Step 2: Convert to fraction form
    4,472.76/6,173.12 = 2,878.96/x
  3. Step 3: Cross multiply
    4,472.76x = 6,173.12 × 2,878.96
  4. Step 4: Simplify right side
    4,472.76x = 17,772,165.56
  5. Step 5: Solve for x
    x = 17,772,165.56/4,472.76
  6. Step 6: Final answer
    x = 3,973.42

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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.