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Finding the Fourth Proportional to 5,234.94, 7,853.76 and 1,537.29

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Solution

The fourth proportional to 5,234.94, 7,853.76 and 1,537.29 is: 2,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.94 : 7,853.76 = 1,537.29 : x
  2. Step 2: Convert to fraction form
    5,234.94/7,853.76 = 1,537.29/x
  3. Step 3: Cross multiply
    5,234.94x = 7,853.76 × 1,537.29
  4. Step 4: Simplify right side
    5,234.94x = 12,073,506.71
  5. Step 5: Solve for x
    x = 12,073,506.71/5,234.94
  6. Step 6: Final answer
    x = 2,306.33

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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.