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Finding the Fourth Proportional to 5,696.24, 7,859.50 and 3,457.94

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Solution

The fourth proportional to 5,696.24, 7,859.50 and 3,457.94 is: 4,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.24 : 7,859.50 = 3,457.94 : x
  2. Step 2: Convert to fraction form
    5,696.24/7,859.50 = 3,457.94/x
  3. Step 3: Cross multiply
    5,696.24x = 7,859.50 × 3,457.94
  4. Step 4: Simplify right side
    5,696.24x = 27,177,631.49
  5. Step 5: Solve for x
    x = 27,177,631.49/5,696.24
  6. Step 6: Final answer
    x = 4,771.16

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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.