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Finding the Fourth Proportional to 4,711.11, 6,501.43 and 2,822.86

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Solution

The fourth proportional to 4,711.11, 6,501.43 and 2,822.86 is: 3,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.11 : 6,501.43 = 2,822.86 : x
  2. Step 2: Convert to fraction form
    4,711.11/6,501.43 = 2,822.86/x
  3. Step 3: Cross multiply
    4,711.11x = 6,501.43 × 2,822.86
  4. Step 4: Simplify right side
    4,711.11x = 18,352,638.35
  5. Step 5: Solve for x
    x = 18,352,638.35/4,711.11
  6. Step 6: Final answer
    x = 3,895.61

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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.