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Finding the Fourth Proportional to 5,771.26, 7,968.99 and 4,709.17

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Solution

The fourth proportional to 5,771.26, 7,968.99 and 4,709.17 is: 6,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.26 : 7,968.99 = 4,709.17 : x
  2. Step 2: Convert to fraction form
    5,771.26/7,968.99 = 4,709.17/x
  3. Step 3: Cross multiply
    5,771.26x = 7,968.99 × 4,709.17
  4. Step 4: Simplify right side
    5,771.26x = 37,527,328.64
  5. Step 5: Solve for x
    x = 37,527,328.64/5,771.26
  6. Step 6: Final answer
    x = 6,502.45

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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.