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Finding the Fourth Proportional to 4,330.98, 5,977.56 and 3,397.86

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Solution

The fourth proportional to 4,330.98, 5,977.56 and 3,397.86 is: 4,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.98 : 5,977.56 = 3,397.86 : x
  2. Step 2: Convert to fraction form
    4,330.98/5,977.56 = 3,397.86/x
  3. Step 3: Cross multiply
    4,330.98x = 5,977.56 × 3,397.86
  4. Step 4: Simplify right side
    4,330.98x = 20,310,912.02
  5. Step 5: Solve for x
    x = 20,310,912.02/4,330.98
  6. Step 6: Final answer
    x = 4,689.68

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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.