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Finding the Fourth Proportional to 5,696.88, 7,862.37 and 3,459.33

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Solution

The fourth proportional to 5,696.88, 7,862.37 and 3,459.33 is: 4,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.88 : 7,862.37 = 3,459.33 : x
  2. Step 2: Convert to fraction form
    5,696.88/7,862.37 = 3,459.33/x
  3. Step 3: Cross multiply
    5,696.88x = 7,862.37 × 3,459.33
  4. Step 4: Simplify right side
    5,696.88x = 27,198,532.41
  5. Step 5: Solve for x
    x = 27,198,532.41/5,696.88
  6. Step 6: Final answer
    x = 4,774.29

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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.