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Finding the Fourth Proportional to 5,171.46, 7,133.42 and 4,509.90

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Solution

The fourth proportional to 5,171.46, 7,133.42 and 4,509.90 is: 6,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.46 : 7,133.42 = 4,509.90 : x
  2. Step 2: Convert to fraction form
    5,171.46/7,133.42 = 4,509.90/x
  3. Step 3: Cross multiply
    5,171.46x = 7,133.42 × 4,509.90
  4. Step 4: Simplify right side
    5,171.46x = 32,170,988.31
  5. Step 5: Solve for x
    x = 32,170,988.31/5,171.46
  6. Step 6: Final answer
    x = 6,220.87

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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.