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Finding the Fourth Proportional to 4,669.82, 6,447.59 and 2,902.22

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Solution

The fourth proportional to 4,669.82, 6,447.59 and 2,902.22 is: 4,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.82 : 6,447.59 = 2,902.22 : x
  2. Step 2: Convert to fraction form
    4,669.82/6,447.59 = 2,902.22/x
  3. Step 3: Cross multiply
    4,669.82x = 6,447.59 × 2,902.22
  4. Step 4: Simplify right side
    4,669.82x = 18,712,277.90
  5. Step 5: Solve for x
    x = 18,712,277.90/4,669.82
  6. Step 6: Final answer
    x = 4,007.07

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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.