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Finding the Fourth Proportional to 4,975.65, 7,463.20 and 1,512.63

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Solution

The fourth proportional to 4,975.65, 7,463.20 and 1,512.63 is: 2,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.65 : 7,463.20 = 1,512.63 : x
  2. Step 2: Convert to fraction form
    4,975.65/7,463.20 = 1,512.63/x
  3. Step 3: Cross multiply
    4,975.65x = 7,463.20 × 1,512.63
  4. Step 4: Simplify right side
    4,975.65x = 11,289,019.12
  5. Step 5: Solve for x
    x = 11,289,019.12/4,975.65
  6. Step 6: Final answer
    x = 2,268.86

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Why These Related Problems?

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