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Finding the Fourth Proportional to 4,712.80, 6,504.93 and 2,824.45

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Solution

The fourth proportional to 4,712.80, 6,504.93 and 2,824.45 is: 3,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.80 : 6,504.93 = 2,824.45 : x
  2. Step 2: Convert to fraction form
    4,712.80/6,504.93 = 2,824.45/x
  3. Step 3: Cross multiply
    4,712.80x = 6,504.93 × 2,824.45
  4. Step 4: Simplify right side
    4,712.80x = 18,372,849.54
  5. Step 5: Solve for x
    x = 18,372,849.54/4,712.80
  6. Step 6: Final answer
    x = 3,898.50

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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.