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Finding the Fourth Proportional to 3,188.96, 4,752.14 and 3,084.56

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Solution

The fourth proportional to 3,188.96, 4,752.14 and 3,084.56 is: 4,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.96 : 4,752.14 = 3,084.56 : x
  2. Step 2: Convert to fraction form
    3,188.96/4,752.14 = 3,084.56/x
  3. Step 3: Cross multiply
    3,188.96x = 4,752.14 × 3,084.56
  4. Step 4: Simplify right side
    3,188.96x = 14,658,260.96
  5. Step 5: Solve for x
    x = 14,658,260.96/3,188.96
  6. Step 6: Final answer
    x = 4,596.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.