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Finding the Fourth Proportional to 5,770, 7,962.60 and 3,286.48

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Solution

The fourth proportional to 5,770, 7,962.60 and 3,286.48 is: 4,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770 : 7,962.60 = 3,286.48 : x
  2. Step 2: Convert to fraction form
    5,770/7,962.60 = 3,286.48/x
  3. Step 3: Cross multiply
    5,770x = 7,962.60 × 3,286.48
  4. Step 4: Simplify right side
    5,770x = 26,168,925.65
  5. Step 5: Solve for x
    x = 26,168,925.65/5,770
  6. Step 6: Final answer
    x = 4,535.34

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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.