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Finding the Fourth Proportional to 4,813.77, 6,646.20 and 3,222.47

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Solution

The fourth proportional to 4,813.77, 6,646.20 and 3,222.47 is: 4,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.77 : 6,646.20 = 3,222.47 : x
  2. Step 2: Convert to fraction form
    4,813.77/6,646.20 = 3,222.47/x
  3. Step 3: Cross multiply
    4,813.77x = 6,646.20 × 3,222.47
  4. Step 4: Simplify right side
    4,813.77x = 21,417,184.65
  5. Step 5: Solve for x
    x = 21,417,184.65/4,813.77
  6. Step 6: Final answer
    x = 4,449.15

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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.