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Finding the Fourth Proportional to 4,975.03, 7,463.43 and 2,051.74

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Solution

The fourth proportional to 4,975.03, 7,463.43 and 2,051.74 is: 3,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.03 : 7,463.43 = 2,051.74 : x
  2. Step 2: Convert to fraction form
    4,975.03/7,463.43 = 2,051.74/x
  3. Step 3: Cross multiply
    4,975.03x = 7,463.43 × 2,051.74
  4. Step 4: Simplify right side
    4,975.03x = 15,313,017.87
  5. Step 5: Solve for x
    x = 15,313,017.87/4,975.03
  6. Step 6: Final answer
    x = 3,077.97

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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.