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Finding the Fourth Proportional to 5,459.16, 8,189.02 and 1,563.60

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Solution

The fourth proportional to 5,459.16, 8,189.02 and 1,563.60 is: 2,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.16 : 8,189.02 = 1,563.60 : x
  2. Step 2: Convert to fraction form
    5,459.16/8,189.02 = 1,563.60/x
  3. Step 3: Cross multiply
    5,459.16x = 8,189.02 × 1,563.60
  4. Step 4: Simplify right side
    5,459.16x = 12,804,351.67
  5. Step 5: Solve for x
    x = 12,804,351.67/5,459.16
  6. Step 6: Final answer
    x = 2,345.48

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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.