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Finding the Fourth Proportional to 3,872.89, 5,345.05 and 2,300.99

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Solution

The fourth proportional to 3,872.89, 5,345.05 and 2,300.99 is: 3,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.89 : 5,345.05 = 2,300.99 : x
  2. Step 2: Convert to fraction form
    3,872.89/5,345.05 = 2,300.99/x
  3. Step 3: Cross multiply
    3,872.89x = 5,345.05 × 2,300.99
  4. Step 4: Simplify right side
    3,872.89x = 12,298,887.48
  5. Step 5: Solve for x
    x = 12,298,887.48/3,872.89
  6. Step 6: Final answer
    x = 3,175.63

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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.