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Finding the Fourth Proportional to 5,696.74, 7,858.34 and 3,338.42

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Solution

The fourth proportional to 5,696.74, 7,858.34 and 3,338.42 is: 4,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.74 : 7,858.34 = 3,338.42 : x
  2. Step 2: Convert to fraction form
    5,696.74/7,858.34 = 3,338.42/x
  3. Step 3: Cross multiply
    5,696.74x = 7,858.34 × 3,338.42
  4. Step 4: Simplify right side
    5,696.74x = 26,234,442.38
  5. Step 5: Solve for x
    x = 26,234,442.38/5,696.74
  6. Step 6: Final answer
    x = 4,605.17

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Double scale
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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.