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Finding the Fourth Proportional to 5,289.71, 7,313.49 and 5,057.34

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Solution

The fourth proportional to 5,289.71, 7,313.49 and 5,057.34 is: 6,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.71 : 7,313.49 = 5,057.34 : x
  2. Step 2: Convert to fraction form
    5,289.71/7,313.49 = 5,057.34/x
  3. Step 3: Cross multiply
    5,289.71x = 7,313.49 × 5,057.34
  4. Step 4: Simplify right side
    5,289.71x = 36,986,805.52
  5. Step 5: Solve for x
    x = 36,986,805.52/5,289.71
  6. Step 6: Final answer
    x = 6,992.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.