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Finding the Fourth Proportional to 3,548.84, 4,902.18 and 3,217.64

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Solution

The fourth proportional to 3,548.84, 4,902.18 and 3,217.64 is: 4,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.84 : 4,902.18 = 3,217.64 : x
  2. Step 2: Convert to fraction form
    3,548.84/4,902.18 = 3,217.64/x
  3. Step 3: Cross multiply
    3,548.84x = 4,902.18 × 3,217.64
  4. Step 4: Simplify right side
    3,548.84x = 15,773,450.46
  5. Step 5: Solve for x
    x = 15,773,450.46/3,548.84
  6. Step 6: Final answer
    x = 4,444.68

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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.