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Finding the Fourth Proportional to 4,975.63, 7,463.14 and 2,053.96

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Solution

The fourth proportional to 4,975.63, 7,463.14 and 2,053.96 is: 3,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.63 : 7,463.14 = 2,053.96 : x
  2. Step 2: Convert to fraction form
    4,975.63/7,463.14 = 2,053.96/x
  3. Step 3: Cross multiply
    4,975.63x = 7,463.14 × 2,053.96
  4. Step 4: Simplify right side
    4,975.63x = 15,328,967.24
  5. Step 5: Solve for x
    x = 15,328,967.24/4,975.63
  6. Step 6: Final answer
    x = 3,080.81

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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.