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Finding the Fourth Proportional to 5,696.51, 7,858.98 and 4,208

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Solution

The fourth proportional to 5,696.51, 7,858.98 and 4,208 is: 5,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.51 : 7,858.98 = 4,208 : x
  2. Step 2: Convert to fraction form
    5,696.51/7,858.98 = 4,208/x
  3. Step 3: Cross multiply
    5,696.51x = 7,858.98 × 4,208
  4. Step 4: Simplify right side
    5,696.51x = 33,070,587.84
  5. Step 5: Solve for x
    x = 33,070,587.84/5,696.51
  6. Step 6: Final answer
    x = 5,805.41

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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.