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Finding the Fourth Proportional to 4,662.70, 6,432.82 and 2,774.79

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Solution

The fourth proportional to 4,662.70, 6,432.82 and 2,774.79 is: 3,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.70 : 6,432.82 = 2,774.79 : x
  2. Step 2: Convert to fraction form
    4,662.70/6,432.82 = 2,774.79/x
  3. Step 3: Cross multiply
    4,662.70x = 6,432.82 × 2,774.79
  4. Step 4: Simplify right side
    4,662.70x = 17,849,717.67
  5. Step 5: Solve for x
    x = 17,849,717.67/4,662.70
  6. Step 6: Final answer
    x = 3,828.20

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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.