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Finding the Fourth Proportional to 4,973.72, 7,459.97 and 2,051.64

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Solution

The fourth proportional to 4,973.72, 7,459.97 and 2,051.64 is: 3,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.72 : 7,459.97 = 2,051.64 : x
  2. Step 2: Convert to fraction form
    4,973.72/7,459.97 = 2,051.64/x
  3. Step 3: Cross multiply
    4,973.72x = 7,459.97 × 2,051.64
  4. Step 4: Simplify right side
    4,973.72x = 15,305,162.59
  5. Step 5: Solve for x
    x = 15,305,162.59/4,973.72
  6. Step 6: Final answer
    x = 3,077.21

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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.