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Finding the Fourth Proportional to 3,477.60, 5,205.60 and 2,743.20

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Solution

The fourth proportional to 3,477.60, 5,205.60 and 2,743.20 is: 4,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.60 : 5,205.60 = 2,743.20 : x
  2. Step 2: Convert to fraction form
    3,477.60/5,205.60 = 2,743.20/x
  3. Step 3: Cross multiply
    3,477.60x = 5,205.60 × 2,743.20
  4. Step 4: Simplify right side
    3,477.60x = 14,280,001.92
  5. Step 5: Solve for x
    x = 14,280,001.92/3,477.60
  6. Step 6: Final answer
    x = 4,106.28

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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.