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Finding the Fourth Proportional to 6,505.14, 8,977.13 and 3,520.98

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Solution

The fourth proportional to 6,505.14, 8,977.13 and 3,520.98 is: 4,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.14 : 8,977.13 = 3,520.98 : x
  2. Step 2: Convert to fraction form
    6,505.14/8,977.13 = 3,520.98/x
  3. Step 3: Cross multiply
    6,505.14x = 8,977.13 × 3,520.98
  4. Step 4: Simplify right side
    6,505.14x = 31,608,290.79
  5. Step 5: Solve for x
    x = 31,608,290.79/6,505.14
  6. Step 6: Final answer
    x = 4,858.97

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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.