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Finding the Fourth Proportional to 4,975.32, 7,463.36 and 1,512.84

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Solution

The fourth proportional to 4,975.32, 7,463.36 and 1,512.84 is: 2,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.32 : 7,463.36 = 1,512.84 : x
  2. Step 2: Convert to fraction form
    4,975.32/7,463.36 = 1,512.84/x
  3. Step 3: Cross multiply
    4,975.32x = 7,463.36 × 1,512.84
  4. Step 4: Simplify right side
    4,975.32x = 11,290,869.54
  5. Step 5: Solve for x
    x = 11,290,869.54/4,975.32
  6. Step 6: Final answer
    x = 2,269.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.