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Finding the Fourth Proportional to 6,454.40, 9,675.82 and 2,556.16

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Solution

The fourth proportional to 6,454.40, 9,675.82 and 2,556.16 is: 3,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.40 : 9,675.82 = 2,556.16 : x
  2. Step 2: Convert to fraction form
    6,454.40/9,675.82 = 2,556.16/x
  3. Step 3: Cross multiply
    6,454.40x = 9,675.82 × 2,556.16
  4. Step 4: Simplify right side
    6,454.40x = 24,732,944.05
  5. Step 5: Solve for x
    x = 24,732,944.05/6,454.40
  6. Step 6: Final answer
    x = 3,831.95

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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.