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Finding the Fourth Proportional to 5,132.40, 7,693.20 and 2,011.20

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Solution

The fourth proportional to 5,132.40, 7,693.20 and 2,011.20 is: 3,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.40 : 7,693.20 = 2,011.20 : x
  2. Step 2: Convert to fraction form
    5,132.40/7,693.20 = 2,011.20/x
  3. Step 3: Cross multiply
    5,132.40x = 7,693.20 × 2,011.20
  4. Step 4: Simplify right side
    5,132.40x = 15,472,563.84
  5. Step 5: Solve for x
    x = 15,472,563.84/5,132.40
  6. Step 6: Final answer
    x = 3,014.68

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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.