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Finding the Fourth Proportional to 5,259.45, 7,887.82 and 1,560.80

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Solution

The fourth proportional to 5,259.45, 7,887.82 and 1,560.80 is: 2,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.45 : 7,887.82 = 1,560.80 : x
  2. Step 2: Convert to fraction form
    5,259.45/7,887.82 = 1,560.80/x
  3. Step 3: Cross multiply
    5,259.45x = 7,887.82 × 1,560.80
  4. Step 4: Simplify right side
    5,259.45x = 12,311,309.46
  5. Step 5: Solve for x
    x = 12,311,309.46/5,259.45
  6. Step 6: Final answer
    x = 2,340.80

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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.