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Finding the Fourth Proportional to 6,436.02, 9,651.60 and 2,740

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Solution

The fourth proportional to 6,436.02, 9,651.60 and 2,740 is: 4,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.02 : 9,651.60 = 2,740 : x
  2. Step 2: Convert to fraction form
    6,436.02/9,651.60 = 2,740/x
  3. Step 3: Cross multiply
    6,436.02x = 9,651.60 × 2,740
  4. Step 4: Simplify right side
    6,436.02x = 26,445,384
  5. Step 5: Solve for x
    x = 26,445,384/6,436.02
  6. Step 6: Final answer
    x = 4,108.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.