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Finding the Fourth Proportional to 4,672.57, 6,445.92 and 2,783.07

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Solution

The fourth proportional to 4,672.57, 6,445.92 and 2,783.07 is: 3,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.57 : 6,445.92 = 2,783.07 : x
  2. Step 2: Convert to fraction form
    4,672.57/6,445.92 = 2,783.07/x
  3. Step 3: Cross multiply
    4,672.57x = 6,445.92 × 2,783.07
  4. Step 4: Simplify right side
    4,672.57x = 17,939,446.57
  5. Step 5: Solve for x
    x = 17,939,446.57/4,672.57
  6. Step 6: Final answer
    x = 3,839.31

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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.