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Finding the Fourth Proportional to 5,740.57, 8,602.63 and 3,270.29

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Solution

The fourth proportional to 5,740.57, 8,602.63 and 3,270.29 is: 4,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.57 : 8,602.63 = 3,270.29 : x
  2. Step 2: Convert to fraction form
    5,740.57/8,602.63 = 3,270.29/x
  3. Step 3: Cross multiply
    5,740.57x = 8,602.63 × 3,270.29
  4. Step 4: Simplify right side
    5,740.57x = 28,133,051.85
  5. Step 5: Solve for x
    x = 28,133,051.85/5,740.57
  6. Step 6: Final answer
    x = 4,900.74

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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.