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Finding the Fourth Proportional to 4,672.74, 6,446.98 and 2,783.36

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Solution

The fourth proportional to 4,672.74, 6,446.98 and 2,783.36 is: 3,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.74 : 6,446.98 = 2,783.36 : x
  2. Step 2: Convert to fraction form
    4,672.74/6,446.98 = 2,783.36/x
  3. Step 3: Cross multiply
    4,672.74x = 6,446.98 × 2,783.36
  4. Step 4: Simplify right side
    4,672.74x = 17,944,266.25
  5. Step 5: Solve for x
    x = 17,944,266.25/4,672.74
  6. Step 6: Final answer
    x = 3,840.20

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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.