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Finding the Fourth Proportional to 4,642.20, 6,406.20 and 2,546.32

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Solution

The fourth proportional to 4,642.20, 6,406.20 and 2,546.32 is: 3,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.20 : 6,406.20 = 2,546.32 : x
  2. Step 2: Convert to fraction form
    4,642.20/6,406.20 = 2,546.32/x
  3. Step 3: Cross multiply
    4,642.20x = 6,406.20 × 2,546.32
  4. Step 4: Simplify right side
    4,642.20x = 16,312,235.18
  5. Step 5: Solve for x
    x = 16,312,235.18/4,642.20
  6. Step 6: Final answer
    x = 3,513.90

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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.