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Finding the Fourth Proportional to 5,326.42, 7,989.58 and 2,986.42

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Solution

The fourth proportional to 5,326.42, 7,989.58 and 2,986.42 is: 4,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.42 : 7,989.58 = 2,986.42 : x
  2. Step 2: Convert to fraction form
    5,326.42/7,989.58 = 2,986.42/x
  3. Step 3: Cross multiply
    5,326.42x = 7,989.58 × 2,986.42
  4. Step 4: Simplify right side
    5,326.42x = 23,860,241.50
  5. Step 5: Solve for x
    x = 23,860,241.50/5,326.42
  6. Step 6: Final answer
    x = 4,479.60

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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.