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Finding the Fourth Proportional to 5,160.80, 7,744.80 and 3,316.40

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Solution

The fourth proportional to 5,160.80, 7,744.80 and 3,316.40 is: 4,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.80 : 7,744.80 = 3,316.40 : x
  2. Step 2: Convert to fraction form
    5,160.80/7,744.80 = 3,316.40/x
  3. Step 3: Cross multiply
    5,160.80x = 7,744.80 × 3,316.40
  4. Step 4: Simplify right side
    5,160.80x = 25,684,854.72
  5. Step 5: Solve for x
    x = 25,684,854.72/5,160.80
  6. Step 6: Final answer
    x = 4,976.91

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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.