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Finding the Fourth Proportional to 5,696.94, 7,859.10 and 3,706.77

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Solution

The fourth proportional to 5,696.94, 7,859.10 and 3,706.77 is: 5,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.94 : 7,859.10 = 3,706.77 : x
  2. Step 2: Convert to fraction form
    5,696.94/7,859.10 = 3,706.77/x
  3. Step 3: Cross multiply
    5,696.94x = 7,859.10 × 3,706.77
  4. Step 4: Simplify right side
    5,696.94x = 29,131,876.11
  5. Step 5: Solve for x
    x = 29,131,876.11/5,696.94
  6. Step 6: Final answer
    x = 5,113.60

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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.