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Finding the Fourth Proportional to 6,205.60, 9,315.60 and 3,743.20

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Solution

The fourth proportional to 6,205.60, 9,315.60 and 3,743.20 is: 5,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.60 : 9,315.60 = 3,743.20 : x
  2. Step 2: Convert to fraction form
    6,205.60/9,315.60 = 3,743.20/x
  3. Step 3: Cross multiply
    6,205.60x = 9,315.60 × 3,743.20
  4. Step 4: Simplify right side
    6,205.60x = 34,870,153.92
  5. Step 5: Solve for x
    x = 34,870,153.92/6,205.60
  6. Step 6: Final answer
    x = 5,619.14

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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.