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Finding the Fourth Proportional to 4,131, 5,699.16 and 2,361.66

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Solution

The fourth proportional to 4,131, 5,699.16 and 2,361.66 is: 3,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131 : 5,699.16 = 2,361.66 : x
  2. Step 2: Convert to fraction form
    4,131/5,699.16 = 2,361.66/x
  3. Step 3: Cross multiply
    4,131x = 5,699.16 × 2,361.66
  4. Step 4: Simplify right side
    4,131x = 13,459,478.21
  5. Step 5: Solve for x
    x = 13,459,478.21/4,131
  6. Step 6: Final answer
    x = 3,258.16

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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.