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Finding the Fourth Proportional to 3,655.60, 5,479.80 and 1,805.20

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Solution

The fourth proportional to 3,655.60, 5,479.80 and 1,805.20 is: 2,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.60 : 5,479.80 = 1,805.20 : x
  2. Step 2: Convert to fraction form
    3,655.60/5,479.80 = 1,805.20/x
  3. Step 3: Cross multiply
    3,655.60x = 5,479.80 × 1,805.20
  4. Step 4: Simplify right side
    3,655.60x = 9,892,134.96
  5. Step 5: Solve for x
    x = 9,892,134.96/3,655.60
  6. Step 6: Final answer
    x = 2,706.02

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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.