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Finding the Fourth Proportional to 5,654.76, 8,484.32 and 2,732.84

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Solution

The fourth proportional to 5,654.76, 8,484.32 and 2,732.84 is: 4,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.76 : 8,484.32 = 2,732.84 : x
  2. Step 2: Convert to fraction form
    5,654.76/8,484.32 = 2,732.84/x
  3. Step 3: Cross multiply
    5,654.76x = 8,484.32 × 2,732.84
  4. Step 4: Simplify right side
    5,654.76x = 23,186,289.07
  5. Step 5: Solve for x
    x = 23,186,289.07/5,654.76
  6. Step 6: Final answer
    x = 4,100.31

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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.