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Finding the Fourth Proportional to 5,234.72, 7,849.59 and 1,535.99

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Solution

The fourth proportional to 5,234.72, 7,849.59 and 1,535.99 is: 2,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.72 : 7,849.59 = 1,535.99 : x
  2. Step 2: Convert to fraction form
    5,234.72/7,849.59 = 1,535.99/x
  3. Step 3: Cross multiply
    5,234.72x = 7,849.59 × 1,535.99
  4. Step 4: Simplify right side
    5,234.72x = 12,056,852.50
  5. Step 5: Solve for x
    x = 12,056,852.50/5,234.72
  6. Step 6: Final answer
    x = 2,303.25

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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.