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Finding the Fourth Proportional to 4,973.14, 7,459.31 and 2,891.81

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Solution

The fourth proportional to 4,973.14, 7,459.31 and 2,891.81 is: 4,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.14 : 7,459.31 = 2,891.81 : x
  2. Step 2: Convert to fraction form
    4,973.14/7,459.31 = 2,891.81/x
  3. Step 3: Cross multiply
    4,973.14x = 7,459.31 × 2,891.81
  4. Step 4: Simplify right side
    4,973.14x = 21,570,907.25
  5. Step 5: Solve for x
    x = 21,570,907.25/4,973.14
  6. Step 6: Final answer
    x = 4,337.49

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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.