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Finding the Fourth Proportional to 4,462.64, 6,125.46 and 3,954.16

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Solution

The fourth proportional to 4,462.64, 6,125.46 and 3,954.16 is: 5,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.64 : 6,125.46 = 3,954.16 : x
  2. Step 2: Convert to fraction form
    4,462.64/6,125.46 = 3,954.16/x
  3. Step 3: Cross multiply
    4,462.64x = 6,125.46 × 3,954.16
  4. Step 4: Simplify right side
    4,462.64x = 24,221,048.91
  5. Step 5: Solve for x
    x = 24,221,048.91/4,462.64
  6. Step 6: Final answer
    x = 5,427.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.