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Finding the Fourth Proportional to 5,708.63, 8,564.16 and 2,421.65

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Solution

The fourth proportional to 5,708.63, 8,564.16 and 2,421.65 is: 3,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.63 : 8,564.16 = 2,421.65 : x
  2. Step 2: Convert to fraction form
    5,708.63/8,564.16 = 2,421.65/x
  3. Step 3: Cross multiply
    5,708.63x = 8,564.16 × 2,421.65
  4. Step 4: Simplify right side
    5,708.63x = 20,739,380.38
  5. Step 5: Solve for x
    x = 20,739,380.38/5,708.63
  6. Step 6: Final answer
    x = 3,632.99

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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.