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Finding the Fourth Proportional to 5,180.60, 7,773.60 and 2,259.20

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Solution

The fourth proportional to 5,180.60, 7,773.60 and 2,259.20 is: 3,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.60 : 7,773.60 = 2,259.20 : x
  2. Step 2: Convert to fraction form
    5,180.60/7,773.60 = 2,259.20/x
  3. Step 3: Cross multiply
    5,180.60x = 7,773.60 × 2,259.20
  4. Step 4: Simplify right side
    5,180.60x = 17,562,117.12
  5. Step 5: Solve for x
    x = 17,562,117.12/5,180.60
  6. Step 6: Final answer
    x = 3,389.98

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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.