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Finding the Fourth Proportional to 5,234.82, 7,852.01 and 1,537.17

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Solution

The fourth proportional to 5,234.82, 7,852.01 and 1,537.17 is: 2,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.82 : 7,852.01 = 1,537.17 : x
  2. Step 2: Convert to fraction form
    5,234.82/7,852.01 = 1,537.17/x
  3. Step 3: Cross multiply
    5,234.82x = 7,852.01 × 1,537.17
  4. Step 4: Simplify right side
    5,234.82x = 12,069,866.53
  5. Step 5: Solve for x
    x = 12,069,866.53/5,234.82
  6. Step 6: Final answer
    x = 2,305.69

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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.