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Finding the Fourth Proportional to 5,270.65, 7,904.10 and 2,310.53

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Solution

The fourth proportional to 5,270.65, 7,904.10 and 2,310.53 is: 3,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.65 : 7,904.10 = 2,310.53 : x
  2. Step 2: Convert to fraction form
    5,270.65/7,904.10 = 2,310.53/x
  3. Step 3: Cross multiply
    5,270.65x = 7,904.10 × 2,310.53
  4. Step 4: Simplify right side
    5,270.65x = 18,262,629.32
  5. Step 5: Solve for x
    x = 18,262,629.32/5,270.65
  6. Step 6: Final answer
    x = 3,464.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.