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Finding the Fourth Proportional to 6,577.40, 9,859.80 and 2,191.80

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Solution

The fourth proportional to 6,577.40, 9,859.80 and 2,191.80 is: 3,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.40 : 9,859.80 = 2,191.80 : x
  2. Step 2: Convert to fraction form
    6,577.40/9,859.80 = 2,191.80/x
  3. Step 3: Cross multiply
    6,577.40x = 9,859.80 × 2,191.80
  4. Step 4: Simplify right side
    6,577.40x = 21,610,709.64
  5. Step 5: Solve for x
    x = 21,610,709.64/6,577.40
  6. Step 6: Final answer
    x = 3,285.60

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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.