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Finding the Fourth Proportional to 5,693.82, 7,857.51 and 3,336

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Solution

The fourth proportional to 5,693.82, 7,857.51 and 3,336 is: 4,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.82 : 7,857.51 = 3,336 : x
  2. Step 2: Convert to fraction form
    5,693.82/7,857.51 = 3,336/x
  3. Step 3: Cross multiply
    5,693.82x = 7,857.51 × 3,336
  4. Step 4: Simplify right side
    5,693.82x = 26,212,653.36
  5. Step 5: Solve for x
    x = 26,212,653.36/5,693.82
  6. Step 6: Final answer
    x = 4,603.70

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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.