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Finding the Fourth Proportional to 5,816.68, 8,715.30 and 4,660

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Solution

The fourth proportional to 5,816.68, 8,715.30 and 4,660 is: 6,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.68 : 8,715.30 = 4,660 : x
  2. Step 2: Convert to fraction form
    5,816.68/8,715.30 = 4,660/x
  3. Step 3: Cross multiply
    5,816.68x = 8,715.30 × 4,660
  4. Step 4: Simplify right side
    5,816.68x = 40,613,298
  5. Step 5: Solve for x
    x = 40,613,298/5,816.68
  6. Step 6: Final answer
    x = 6,982.21

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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.