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Finding the Fourth Proportional to 5,564.67, 8,338.68 and 5,154.60

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Solution

The fourth proportional to 5,564.67, 8,338.68 and 5,154.60 is: 7,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.67 : 8,338.68 = 5,154.60 : x
  2. Step 2: Convert to fraction form
    5,564.67/8,338.68 = 5,154.60/x
  3. Step 3: Cross multiply
    5,564.67x = 8,338.68 × 5,154.60
  4. Step 4: Simplify right side
    5,564.67x = 42,982,559.93
  5. Step 5: Solve for x
    x = 42,982,559.93/5,564.67
  6. Step 6: Final answer
    x = 7,724.19

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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.