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Finding the Fourth Proportional to 4,885.12, 6,738.42 and 3,206.62

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Solution

The fourth proportional to 4,885.12, 6,738.42 and 3,206.62 is: 4,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.12 : 6,738.42 = 3,206.62 : x
  2. Step 2: Convert to fraction form
    4,885.12/6,738.42 = 3,206.62/x
  3. Step 3: Cross multiply
    4,885.12x = 6,738.42 × 3,206.62
  4. Step 4: Simplify right side
    4,885.12x = 21,607,552.34
  5. Step 5: Solve for x
    x = 21,607,552.34/4,885.12
  6. Step 6: Final answer
    x = 4,423.14

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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.