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Finding the Fourth Proportional to 5,696.92, 8,492 and 5,069.08

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Solution

The fourth proportional to 5,696.92, 8,492 and 5,069.08 is: 7,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.92 : 8,492 = 5,069.08 : x
  2. Step 2: Convert to fraction form
    5,696.92/8,492 = 5,069.08/x
  3. Step 3: Cross multiply
    5,696.92x = 8,492 × 5,069.08
  4. Step 4: Simplify right side
    5,696.92x = 43,046,627.36
  5. Step 5: Solve for x
    x = 43,046,627.36/5,696.92
  6. Step 6: Final answer
    x = 7,556.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.