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Finding the Fourth Proportional to 4,688.57, 6,473.03 and 2,922.57

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Solution

The fourth proportional to 4,688.57, 6,473.03 and 2,922.57 is: 4,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.57 : 6,473.03 = 2,922.57 : x
  2. Step 2: Convert to fraction form
    4,688.57/6,473.03 = 2,922.57/x
  3. Step 3: Cross multiply
    4,688.57x = 6,473.03 × 2,922.57
  4. Step 4: Simplify right side
    4,688.57x = 18,917,850.92
  5. Step 5: Solve for x
    x = 18,917,850.92/4,688.57
  6. Step 6: Final answer
    x = 4,034.89

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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.