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Finding the Fourth Proportional to 5,988.12, 8,261 and 4,195.93

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Solution

The fourth proportional to 5,988.12, 8,261 and 4,195.93 is: 5,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.12 : 8,261 = 4,195.93 : x
  2. Step 2: Convert to fraction form
    5,988.12/8,261 = 4,195.93/x
  3. Step 3: Cross multiply
    5,988.12x = 8,261 × 4,195.93
  4. Step 4: Simplify right side
    5,988.12x = 34,662,536.43
  5. Step 5: Solve for x
    x = 34,662,536.43/5,988.12
  6. Step 6: Final answer
    x = 5,788.56

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