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Finding the Fourth Proportional to 4,973.43, 7,459.54 and 2,051.36

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Solution

The fourth proportional to 4,973.43, 7,459.54 and 2,051.36 is: 3,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.43 : 7,459.54 = 2,051.36 : x
  2. Step 2: Convert to fraction form
    4,973.43/7,459.54 = 2,051.36/x
  3. Step 3: Cross multiply
    4,973.43x = 7,459.54 × 2,051.36
  4. Step 4: Simplify right side
    4,973.43x = 15,302,199.06
  5. Step 5: Solve for x
    x = 15,302,199.06/4,973.43
  6. Step 6: Final answer
    x = 3,076.79

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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.