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Finding the Fourth Proportional to 5,313.59, 7,966.43 and 3,665.44

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Solution

The fourth proportional to 5,313.59, 7,966.43 and 3,665.44 is: 5,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.59 : 7,966.43 = 3,665.44 : x
  2. Step 2: Convert to fraction form
    5,313.59/7,966.43 = 3,665.44/x
  3. Step 3: Cross multiply
    5,313.59x = 7,966.43 × 3,665.44
  4. Step 4: Simplify right side
    5,313.59x = 29,200,471.18
  5. Step 5: Solve for x
    x = 29,200,471.18/5,313.59
  6. Step 6: Final answer
    x = 5,495.43

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1.5x scale

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.