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Finding the Fourth Proportional to 3,705.60, 5,551.20 and 2,059.20

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Solution

The fourth proportional to 3,705.60, 5,551.20 and 2,059.20 is: 3,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,551.20 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,551.20 = 2,059.20/x
  3. Step 3: Cross multiply
    3,705.60x = 5,551.20 × 2,059.20
  4. Step 4: Simplify right side
    3,705.60x = 11,431,031.04
  5. Step 5: Solve for x
    x = 11,431,031.04/3,705.60
  6. Step 6: Final answer
    x = 3,084.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.