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Finding the Fourth Proportional to 5,290.93, 7,967.31 and 3,913.98

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Solution

The fourth proportional to 5,290.93, 7,967.31 and 3,913.98 is: 5,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.93 : 7,967.31 = 3,913.98 : x
  2. Step 2: Convert to fraction form
    5,290.93/7,967.31 = 3,913.98/x
  3. Step 3: Cross multiply
    5,290.93x = 7,967.31 × 3,913.98
  4. Step 4: Simplify right side
    5,290.93x = 31,183,901.78
  5. Step 5: Solve for x
    x = 31,183,901.78/5,290.93
  6. Step 6: Final answer
    x = 5,893.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.