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Finding the Fourth Proportional to 3,866.16, 5,796.54 and 1,232.79

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Solution

The fourth proportional to 3,866.16, 5,796.54 and 1,232.79 is: 1,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.16 : 5,796.54 = 1,232.79 : x
  2. Step 2: Convert to fraction form
    3,866.16/5,796.54 = 1,232.79/x
  3. Step 3: Cross multiply
    3,866.16x = 5,796.54 × 1,232.79
  4. Step 4: Simplify right side
    3,866.16x = 7,145,916.55
  5. Step 5: Solve for x
    x = 7,145,916.55/3,866.16
  6. Step 6: Final answer
    x = 1,848.32

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Why These Related Problems?

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