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Finding the Fourth Proportional to 4,701.54, 6,517.80 and 4,451.86

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Solution

The fourth proportional to 4,701.54, 6,517.80 and 4,451.86 is: 6,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.54 : 6,517.80 = 4,451.86 : x
  2. Step 2: Convert to fraction form
    4,701.54/6,517.80 = 4,451.86/x
  3. Step 3: Cross multiply
    4,701.54x = 6,517.80 × 4,451.86
  4. Step 4: Simplify right side
    4,701.54x = 29,016,333.11
  5. Step 5: Solve for x
    x = 29,016,333.11/4,701.54
  6. Step 6: Final answer
    x = 6,171.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.