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Finding the Fourth Proportional to 5,459.67, 8,189.48 and 1,564.08

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Solution

The fourth proportional to 5,459.67, 8,189.48 and 1,564.08 is: 2,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.67 : 8,189.48 = 1,564.08 : x
  2. Step 2: Convert to fraction form
    5,459.67/8,189.48 = 1,564.08/x
  3. Step 3: Cross multiply
    5,459.67x = 8,189.48 × 1,564.08
  4. Step 4: Simplify right side
    5,459.67x = 12,808,975.08
  5. Step 5: Solve for x
    x = 12,808,975.08/5,459.67
  6. Step 6: Final answer
    x = 2,346.11

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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.