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Finding the Fourth Proportional to 4,712.07, 6,502.49 and 2,822.56

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Solution

The fourth proportional to 4,712.07, 6,502.49 and 2,822.56 is: 3,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.07 : 6,502.49 = 2,822.56 : x
  2. Step 2: Convert to fraction form
    4,712.07/6,502.49 = 2,822.56/x
  3. Step 3: Cross multiply
    4,712.07x = 6,502.49 × 2,822.56
  4. Step 4: Simplify right side
    4,712.07x = 18,353,661.50
  5. Step 5: Solve for x
    x = 18,353,661.50/4,712.07
  6. Step 6: Final answer
    x = 3,895.03

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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.