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Finding the Fourth Proportional to 4,973.24, 7,463.21 and 2,051.48

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Solution

The fourth proportional to 4,973.24, 7,463.21 and 2,051.48 is: 3,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.24 : 7,463.21 = 2,051.48 : x
  2. Step 2: Convert to fraction form
    4,973.24/7,463.21 = 2,051.48/x
  3. Step 3: Cross multiply
    4,973.24x = 7,463.21 × 2,051.48
  4. Step 4: Simplify right side
    4,973.24x = 15,310,578.48
  5. Step 5: Solve for x
    x = 15,310,578.48/4,973.24
  6. Step 6: Final answer
    x = 3,078.60

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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.