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Finding the Fourth Proportional to 7,195.92, 10,784.16 and 3,735.60

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Solution

The fourth proportional to 7,195.92, 10,784.16 and 3,735.60 is: 5,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.92 : 10,784.16 = 3,735.60 : x
  2. Step 2: Convert to fraction form
    7,195.92/10,784.16 = 3,735.60/x
  3. Step 3: Cross multiply
    7,195.92x = 10,784.16 × 3,735.60
  4. Step 4: Simplify right side
    7,195.92x = 40,285,308.10
  5. Step 5: Solve for x
    x = 40,285,308.10/7,195.92
  6. Step 6: Final answer
    x = 5,598.35

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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.