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Finding the Fourth Proportional to 4,153.14, 6,232.14 and 1,556.28

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Solution

The fourth proportional to 4,153.14, 6,232.14 and 1,556.28 is: 2,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.14 : 6,232.14 = 1,556.28 : x
  2. Step 2: Convert to fraction form
    4,153.14/6,232.14 = 1,556.28/x
  3. Step 3: Cross multiply
    4,153.14x = 6,232.14 × 1,556.28
  4. Step 4: Simplify right side
    4,153.14x = 9,698,954.84
  5. Step 5: Solve for x
    x = 9,698,954.84/4,153.14
  6. Step 6: Final answer
    x = 2,335.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.