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Finding the Fourth Proportional to 5,806.20, 8,709.72 and 4,421.76

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Solution

The fourth proportional to 5,806.20, 8,709.72 and 4,421.76 is: 6,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.20 : 8,709.72 = 4,421.76 : x
  2. Step 2: Convert to fraction form
    5,806.20/8,709.72 = 4,421.76/x
  3. Step 3: Cross multiply
    5,806.20x = 8,709.72 × 4,421.76
  4. Step 4: Simplify right side
    5,806.20x = 38,512,291.51
  5. Step 5: Solve for x
    x = 38,512,291.51/5,806.20
  6. Step 6: Final answer
    x = 6,632.96

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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.