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Finding the Fourth Proportional to 4,973.64, 7,460.06 and 2,892.31

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Solution

The fourth proportional to 4,973.64, 7,460.06 and 2,892.31 is: 4,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.64 : 7,460.06 = 2,892.31 : x
  2. Step 2: Convert to fraction form
    4,973.64/7,460.06 = 2,892.31/x
  3. Step 3: Cross multiply
    4,973.64x = 7,460.06 × 2,892.31
  4. Step 4: Simplify right side
    4,973.64x = 21,576,806.14
  5. Step 5: Solve for x
    x = 21,576,806.14/4,973.64
  6. Step 6: Final answer
    x = 4,338.23

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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.