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Finding the Fourth Proportional to 4,973.23, 6,863.01 and 2,849.14

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Solution

The fourth proportional to 4,973.23, 6,863.01 and 2,849.14 is: 3,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.23 : 6,863.01 = 2,849.14 : x
  2. Step 2: Convert to fraction form
    4,973.23/6,863.01 = 2,849.14/x
  3. Step 3: Cross multiply
    4,973.23x = 6,863.01 × 2,849.14
  4. Step 4: Simplify right side
    4,973.23x = 19,553,676.31
  5. Step 5: Solve for x
    x = 19,553,676.31/4,973.23
  6. Step 6: Final answer
    x = 3,931.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.