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Finding the Fourth Proportional to 5,598.16, 7,739.46 and 4,198.48

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Solution

The fourth proportional to 5,598.16, 7,739.46 and 4,198.48 is: 5,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.16 : 7,739.46 = 4,198.48 : x
  2. Step 2: Convert to fraction form
    5,598.16/7,739.46 = 4,198.48/x
  3. Step 3: Cross multiply
    5,598.16x = 7,739.46 × 4,198.48
  4. Step 4: Simplify right side
    5,598.16x = 32,493,968.02
  5. Step 5: Solve for x
    x = 32,493,968.02/5,598.16
  6. Step 6: Final answer
    x = 5,804.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.