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Finding the Fourth Proportional to 5,977.62, 8,253.18 and 3,740.40

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Solution

The fourth proportional to 5,977.62, 8,253.18 and 3,740.40 is: 5,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.62 : 8,253.18 = 3,740.40 : x
  2. Step 2: Convert to fraction form
    5,977.62/8,253.18 = 3,740.40/x
  3. Step 3: Cross multiply
    5,977.62x = 8,253.18 × 3,740.40
  4. Step 4: Simplify right side
    5,977.62x = 30,870,194.47
  5. Step 5: Solve for x
    x = 30,870,194.47/5,977.62
  6. Step 6: Final answer
    x = 5,164.30

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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.