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Finding the Fourth Proportional to 5,598.42, 8,397.29 and 2,087.75

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Solution

The fourth proportional to 5,598.42, 8,397.29 and 2,087.75 is: 3,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.42 : 8,397.29 = 2,087.75 : x
  2. Step 2: Convert to fraction form
    5,598.42/8,397.29 = 2,087.75/x
  3. Step 3: Cross multiply
    5,598.42x = 8,397.29 × 2,087.75
  4. Step 4: Simplify right side
    5,598.42x = 17,531,442.20
  5. Step 5: Solve for x
    x = 17,531,442.20/5,598.42
  6. Step 6: Final answer
    x = 3,131.50

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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.