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Finding the Fourth Proportional to 6,261.76, 8,641.16 and 3,428.96

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Solution

The fourth proportional to 6,261.76, 8,641.16 and 3,428.96 is: 4,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.76 : 8,641.16 = 3,428.96 : x
  2. Step 2: Convert to fraction form
    6,261.76/8,641.16 = 3,428.96/x
  3. Step 3: Cross multiply
    6,261.76x = 8,641.16 × 3,428.96
  4. Step 4: Simplify right side
    6,261.76x = 29,630,191.99
  5. Step 5: Solve for x
    x = 29,630,191.99/6,261.76
  6. Step 6: Final answer
    x = 4,731.93

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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.