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Finding the Fourth Proportional to 5,564.89, 8,352.20 and 2,969.65

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Solution

The fourth proportional to 5,564.89, 8,352.20 and 2,969.65 is: 4,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.89 : 8,352.20 = 2,969.65 : x
  2. Step 2: Convert to fraction form
    5,564.89/8,352.20 = 2,969.65/x
  3. Step 3: Cross multiply
    5,564.89x = 8,352.20 × 2,969.65
  4. Step 4: Simplify right side
    5,564.89x = 24,803,110.73
  5. Step 5: Solve for x
    x = 24,803,110.73/5,564.89
  6. Step 6: Final answer
    x = 4,457.07

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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.