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Finding the Fourth Proportional to 5,284.34, 7,926.58 and 1,998.98

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Solution

The fourth proportional to 5,284.34, 7,926.58 and 1,998.98 is: 2,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.34 : 7,926.58 = 1,998.98 : x
  2. Step 2: Convert to fraction form
    5,284.34/7,926.58 = 1,998.98/x
  3. Step 3: Cross multiply
    5,284.34x = 7,926.58 × 1,998.98
  4. Step 4: Simplify right side
    5,284.34x = 15,845,074.89
  5. Step 5: Solve for x
    x = 15,845,074.89/5,284.34
  6. Step 6: Final answer
    x = 2,998.50

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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.