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Finding the Fourth Proportional to 4,720.92, 6,512.31 and 2,927.80

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Solution

The fourth proportional to 4,720.92, 6,512.31 and 2,927.80 is: 4,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.92 : 6,512.31 = 2,927.80 : x
  2. Step 2: Convert to fraction form
    4,720.92/6,512.31 = 2,927.80/x
  3. Step 3: Cross multiply
    4,720.92x = 6,512.31 × 2,927.80
  4. Step 4: Simplify right side
    4,720.92x = 19,066,741.22
  5. Step 5: Solve for x
    x = 19,066,741.22/4,720.92
  6. Step 6: Final answer
    x = 4,038.78

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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.