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Finding the Fourth Proportional to 4,241.76, 5,852.16 and 2,669.28

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Solution

The fourth proportional to 4,241.76, 5,852.16 and 2,669.28 is: 3,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.76 : 5,852.16 = 2,669.28 : x
  2. Step 2: Convert to fraction form
    4,241.76/5,852.16 = 2,669.28/x
  3. Step 3: Cross multiply
    4,241.76x = 5,852.16 × 2,669.28
  4. Step 4: Simplify right side
    4,241.76x = 15,621,053.64
  5. Step 5: Solve for x
    x = 15,621,053.64/4,241.76
  6. Step 6: Final answer
    x = 3,682.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.