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Finding the Fourth Proportional to 3,851.07, 5,748.75 and 3,383.98

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Solution

The fourth proportional to 3,851.07, 5,748.75 and 3,383.98 is: 5,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.07 : 5,748.75 = 3,383.98 : x
  2. Step 2: Convert to fraction form
    3,851.07/5,748.75 = 3,383.98/x
  3. Step 3: Cross multiply
    3,851.07x = 5,748.75 × 3,383.98
  4. Step 4: Simplify right side
    3,851.07x = 19,453,667.51
  5. Step 5: Solve for x
    x = 19,453,667.51/3,851.07
  6. Step 6: Final answer
    x = 5,051.50

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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.