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Finding the Fourth Proportional to 4,676.25, 7,008.22 and 1,905.00

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Solution

The fourth proportional to 4,676.25, 7,008.22 and 1,905.00 is: 2,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.25 : 7,008.22 = 1,905.00 : x
  2. Step 2: Convert to fraction form
    4,676.25/7,008.22 = 1,905.00/x
  3. Step 3: Cross multiply
    4,676.25x = 7,008.22 × 1,905.00
  4. Step 4: Simplify right side
    4,676.25x = 13,350,643.69
  5. Step 5: Solve for x
    x = 13,350,643.69/4,676.25
  6. Step 6: Final answer
    x = 2,854.99

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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.