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Finding the Fourth Proportional to 4,863.83, 7,294.22 and 1,576.16

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Solution

The fourth proportional to 4,863.83, 7,294.22 and 1,576.16 is: 2,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.83 : 7,294.22 = 1,576.16 : x
  2. Step 2: Convert to fraction form
    4,863.83/7,294.22 = 1,576.16/x
  3. Step 3: Cross multiply
    4,863.83x = 7,294.22 × 1,576.16
  4. Step 4: Simplify right side
    4,863.83x = 11,496,849.91
  5. Step 5: Solve for x
    x = 11,496,849.91/4,863.83
  6. Step 6: Final answer
    x = 2,363.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.