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Finding the Fourth Proportional to 4,642.04, 6,406.20 and 2,546.24

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Solution

The fourth proportional to 4,642.04, 6,406.20 and 2,546.24 is: 3,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.04 : 6,406.20 = 2,546.24 : x
  2. Step 2: Convert to fraction form
    4,642.04/6,406.20 = 2,546.24/x
  3. Step 3: Cross multiply
    4,642.04x = 6,406.20 × 2,546.24
  4. Step 4: Simplify right side
    4,642.04x = 16,311,722.69
  5. Step 5: Solve for x
    x = 16,311,722.69/4,642.04
  6. Step 6: Final answer
    x = 3,513.91

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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.