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Finding the Fourth Proportional to 6,454.31, 8,904.60 and 3,934.67

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Solution

The fourth proportional to 6,454.31, 8,904.60 and 3,934.67 is: 5,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.31 : 8,904.60 = 3,934.67 : x
  2. Step 2: Convert to fraction form
    6,454.31/8,904.60 = 3,934.67/x
  3. Step 3: Cross multiply
    6,454.31x = 8,904.60 × 3,934.67
  4. Step 4: Simplify right side
    6,454.31x = 35,036,617.96
  5. Step 5: Solve for x
    x = 35,036,617.96/6,454.31
  6. Step 6: Final answer
    x = 5,428.41

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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.