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Finding the Fourth Proportional to 4,953.63, 7,430.23 and 2,872.14

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Solution

The fourth proportional to 4,953.63, 7,430.23 and 2,872.14 is: 4,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.63 : 7,430.23 = 2,872.14 : x
  2. Step 2: Convert to fraction form
    4,953.63/7,430.23 = 2,872.14/x
  3. Step 3: Cross multiply
    4,953.63x = 7,430.23 × 2,872.14
  4. Step 4: Simplify right side
    4,953.63x = 21,340,660.79
  5. Step 5: Solve for x
    x = 21,340,660.79/4,953.63
  6. Step 6: Final answer
    x = 4,308.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.