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Finding the Fourth Proportional to 3,464.68, 4,782.50 and 2,206.12

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Solution

The fourth proportional to 3,464.68, 4,782.50 and 2,206.12 is: 3,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.68 : 4,782.50 = 2,206.12 : x
  2. Step 2: Convert to fraction form
    3,464.68/4,782.50 = 2,206.12/x
  3. Step 3: Cross multiply
    3,464.68x = 4,782.50 × 2,206.12
  4. Step 4: Simplify right side
    3,464.68x = 10,550,768.90
  5. Step 5: Solve for x
    x = 10,550,768.90/3,464.68
  6. Step 6: Final answer
    x = 3,045.24

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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.