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Finding the Fourth Proportional to 5,730.53, 8,596.25 and 2,443.65

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Solution

The fourth proportional to 5,730.53, 8,596.25 and 2,443.65 is: 3,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.53 : 8,596.25 = 2,443.65 : x
  2. Step 2: Convert to fraction form
    5,730.53/8,596.25 = 2,443.65/x
  3. Step 3: Cross multiply
    5,730.53x = 8,596.25 × 2,443.65
  4. Step 4: Simplify right side
    5,730.53x = 21,006,246.25
  5. Step 5: Solve for x
    x = 21,006,246.25/5,730.53
  6. Step 6: Final answer
    x = 3,665.67

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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.