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Finding the Fourth Proportional to 3,124.64, 4,676.48 and 3,083.20

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Solution

The fourth proportional to 3,124.64, 4,676.48 and 3,083.20 is: 4,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.64 : 4,676.48 = 3,083.20 : x
  2. Step 2: Convert to fraction form
    3,124.64/4,676.48 = 3,083.20/x
  3. Step 3: Cross multiply
    3,124.64x = 4,676.48 × 3,083.20
  4. Step 4: Simplify right side
    3,124.64x = 14,418,523.14
  5. Step 5: Solve for x
    x = 14,418,523.14/3,124.64
  6. Step 6: Final answer
    x = 4,614.46

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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.