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Finding the Fourth Proportional to 5,230.32, 7,840.08 and 2,310

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Solution

The fourth proportional to 5,230.32, 7,840.08 and 2,310 is: 3,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.32 : 7,840.08 = 2,310 : x
  2. Step 2: Convert to fraction form
    5,230.32/7,840.08 = 2,310/x
  3. Step 3: Cross multiply
    5,230.32x = 7,840.08 × 2,310
  4. Step 4: Simplify right side
    5,230.32x = 18,110,584.80
  5. Step 5: Solve for x
    x = 18,110,584.80/5,230.32
  6. Step 6: Final answer
    x = 3,462.62

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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.