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Finding the Fourth Proportional to 4,497.48, 6,204.56 and 2,705.67

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Solution

The fourth proportional to 4,497.48, 6,204.56 and 2,705.67 is: 3,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.48 : 6,204.56 = 2,705.67 : x
  2. Step 2: Convert to fraction form
    4,497.48/6,204.56 = 2,705.67/x
  3. Step 3: Cross multiply
    4,497.48x = 6,204.56 × 2,705.67
  4. Step 4: Simplify right side
    4,497.48x = 16,787,478.33
  5. Step 5: Solve for x
    x = 16,787,478.33/4,497.48
  6. Step 6: Final answer
    x = 3,732.64

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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.